10972656 has 60 divisors (see below), whose sum is σ = 32053008. Its totient is φ = 3497472.

The previous prime is 10972651. The next prime is 10972699. The reversal of 10972656 is 65627901.

10972656 = 570² + 571² + ... + 601².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10972656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 4968.

Almost surely, 2^10972656 is an apocalyptic number.

10972656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 3312×3313.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10972656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026504).

10972656 is an abundant number, since it is smaller than the sum of its proper divisors (21080352).

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

10972656 is a wasteful number, since it uses less digits than its factorization.

10972656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3341 counting only the distinct ones).

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

The square root of 10972656 is about 3312.4999622642. The cubic root of 10972656 is about 222.2135758117.

It can be divided in two parts, 10972 and 656, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10972656 in words is "ten million, nine hundred seventy-two thousand, six hundred fifty-six".