10657920 has 256 divisors, whose sum is σ = 42497280. Its totient is φ = 2211840.

The previous prime is 10657919. The next prime is 10657943. The reversal of 10657920 is 2975601.

It is a super-2 number, since 2×10657920² = 227182517452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174690 + ... + 174750.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^10657920 is an apocalyptic number.

10657920 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 10657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

10657920 is an abundant number, since it is smaller than the sum of its proper divisors (31839360).

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

10657920 is a wasteful number, since it uses less digits than its factorization.

10657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 10657920 is about 3264.6469946994. The cubic root of 10657920 is about 220.0682983540.

The spelling of 10657920 in words is "ten million, six hundred fifty-seven thousand, nine hundred twenty".