10664640 has 252 divisors, whose sum is σ = 43824144. Its totient is φ = 2331648.

The previous prime is 10664639. The next prime is 10664659. The reversal of 10664640 is 4646601.

10664640 = T₇₉ + T₈₀ + ... + T₄₀₀.

10664640 is a `hidden beast` number, since 10 + 6 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×10664640² = 227469092659200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 463669 + ... + 463691.

Almost surely, 2^10664640 is an apocalyptic number.

10664640 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 10664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912072).

10664640 is an abundant number, since it is smaller than the sum of its proper divisors (33159504).

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

10664640 is a wasteful number, since it uses less digits than its factorization.

10664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10664640 is about 3265.6760402710. The cubic root of 10664640 is about 220.1145409060.

It can be divided in two parts, 106 and 64640, that added together give a palindrome (64746).

The spelling of 10664640 in words is "ten million, six hundred sixty-four thousand, six hundred forty".