10664400 has 60 divisors (see below), whose sum is σ = 34165472. Its totient is φ = 2843520.

The previous prime is 10664371. The next prime is 10664449. The reversal of 10664400 is 446601.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10664400² = 227458854720000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3244 + ... + 5643.

Almost surely, 2^10664400 is an apocalyptic number.

10664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10664400 is an abundant number, since it is smaller than the sum of its proper divisors (23501072).

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

10664400 is a wasteful number, since it uses less digits than its factorization.

10664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10664400 is about 3265.6392942271. The cubic root of 10664400 is about 220.1128897208.

The spelling of 10664400 in words is "ten million, six hundred sixty-four thousand, four hundred".