10026720 has 192 divisors, whose sum is σ = 38465280. Its totient is φ = 2419200.

The previous prime is 10026713. The next prime is 10026727. The reversal of 10026720 is 2762001.

10026720 = T₂₇₁ + T₂₇₂ + ... + T₄₃₀.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10026713) and next prime (10026727).

It is a super-2 number, since 2×10026720² = 201070227916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10026693 and 10026702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10026727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47415 + ... + 47625.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 2^10026720 is an apocalyptic number.

10026720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232640).

10026720 is an abundant number, since it is smaller than the sum of its proper divisors (28438560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10026720 is a wasteful number, since it uses less digits than its factorization.

10026720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10026720 is about 3166.4996447181. The cubic root of 10026720 is about 215.6351866643.

10026720 divided by its sum of digits (18) gives a triangular number (557040 = T₁₀₅₅).

Adding to 10026720 its reverse (2762001), we get a palindrome (12788721).

The spelling of 10026720 in words is "ten million, twenty-six thousand, seven hundred twenty".