10640400 has 60 divisors (see below), whose sum is σ = 34088592. Its totient is φ = 2837120.

The previous prime is 10640387. The next prime is 10640429. The reversal of 10640400 is 404601.

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

It is a super-2 number, since 2×10640400² = 226436224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10640400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3234 + ... + 5633.

Almost surely, 2^10640400 is an apocalyptic number.

10640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10640400 is an abundant number, since it is smaller than the sum of its proper divisors (23448192).

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

10640400 is a wasteful number, since it uses less digits than its factorization.

10640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10640400 is about 3261.9625994177. The cubic root of 10640400 is about 219.9476459443.

The spelling of 10640400 in words is "ten million, six hundred forty thousand, four hundred".