10027620 has 144 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 2408448.

The previous prime is 10027613. The next prime is 10027627. The reversal of 10027620 is 2672001.

10027620 = T₃₁₄ + T₃₁₅ + ... + T₄₄₉.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10027613) and next prime (10027627).

It can be written as a sum of positive squares in 8 ways, for example, as 553536 + 9474084 = 744^2 + 3078^2 .

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 = 10027593 and 10027602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88684 + ... + 88796.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^10027620 is an apocalyptic number.

10027620 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 10027620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

10027620 is an abundant number, since it is smaller than the sum of its proper divisors (23584140).

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

10027620 is a wasteful number, since it uses less digits than its factorization.

10027620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

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

The square root of 10027620 is about 3166.6417542880. The cubic root of 10027620 is about 215.6416382876.

Adding to 10027620 its reverse (2672001), we get a palindrome (12699621).

The spelling of 10027620 in words is "ten million, twenty-seven thousand, six hundred twenty".