10656972 has 18 divisors (see below), whose sum is σ = 26938548. Its totient is φ = 3552312.

The previous prime is 10656923. The next prime is 10657013. The reversal of 10656972 is 27965601.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10656972² = 227142104417568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 296027 = 10656972 / (1 + 0 + 6 + 5 + 6 + 9 + 7 + 2).

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 5 ways as a sum of consecutive naturals, for example, 147978 + ... + 148049.

It is an arithmetic number, because the mean of its divisors is an integer number (1496586).

Almost surely, 2^10656972 is an apocalyptic number.

10656972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10656972 is an abundant number, since it is smaller than the sum of its proper divisors (16281576).

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

10656972 is a wasteful number, since it uses less digits than its factorization.

10656972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296037 (or 296032 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10656972 is about 3264.5017996625. The cubic root of 10656972 is about 220.0617732868.

It can be divided in two parts, 10656 and 972, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10656972 in words is "ten million, six hundred fifty-six thousand, nine hundred seventy-two".