10656064 has 56 divisors (see below), whose sum is σ = 22530816. Its totient is φ = 4992000.

The previous prime is 10656043. The next prime is 10656067. The reversal of 10656064 is 46065601.

It is a super-2 number, since 2×10656064² = 227103399944192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81279 + ... + 81409.

It is an arithmetic number, because the mean of its divisors is an integer number (402336).

Almost surely, 2^10656064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265408).

10656064 is an abundant number, since it is smaller than the sum of its proper divisors (11874752).

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

10656064 is a wasteful number, since it uses less digits than its factorization.

10656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10656064 is about 3264.3627249434. The cubic root of 10656064 is about 220.0555231761.

Subtracting from 10656064 its sum of digits (28), we obtain a triangular number (10656036 = T₄₆₁₆).

The spelling of 10656064 in words is "ten million, six hundred fifty-six thousand, sixty-four".