10657696 has 48 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 4562880.

The previous prime is 10657687. The next prime is 10657709. The reversal of 10657696 is 69675601.

It is a super-2 number, since 2×10657696² = 227172968056832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10491 + ... + 11461.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^10657696 is an apocalyptic number.

10657696 is a gapful number since it is divisible by the number (16) 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 10657696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

10657696 is an abundant number, since it is smaller than the sum of its proper divisors (13836704).

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

10657696 is an frugal number, since it uses more digits than its factorization.

10657696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 10657696 is about 3264.6126875940. The cubic root of 10657696 is about 220.0667566009.

The spelling of 10657696 in words is "ten million, six hundred fifty-seven thousand, six hundred ninety-six".