10126620 has 240 divisors, whose sum is σ = 39029760. Its totient is φ = 2146176.

The previous prime is 10126619. The next prime is 10126621. The reversal of 10126620 is 2662101.

It is a happy number.

10126620 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 662 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10126619) and next prime (10126621).

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 = 10126593 and 10126602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126621) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215437 + ... + 215483.

It is an arithmetic number, because the mean of its divisors is an integer number (162624).

Almost surely, 2^10126620 is an apocalyptic number.

10126620 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 10126620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

10126620 is an abundant number, since it is smaller than the sum of its proper divisors (28903140).

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

10126620 is a wasteful number, since it uses less digits than its factorization.

10126620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10126620 is about 3182.2350635992. The cubic root of 10126620 is about 216.3489729274.

Adding to 10126620 its reverse (2662101), we get a palindrome (12788721).

The spelling of 10126620 in words is "ten million, one hundred twenty-six thousand, six hundred twenty".