10400964 has 24 divisors (see below), whose sum is σ = 27736128. Its totient is φ = 2971680.

The previous prime is 10400947. The next prime is 10400977. The reversal of 10400964 is 46900401.

10400964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61827 + ... + 61994.

It is an arithmetic number, because the mean of its divisors is an integer number (1155672).

Almost surely, 2^10400964 is an apocalyptic number.

10400964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10400964 is an abundant number, since it is smaller than the sum of its proper divisors (17335164).

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

10400964 is a wasteful number, since it uses less digits than its factorization.

10400964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123835 (or 123833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10400964 is about 3225.0525577113. The cubic root of 10400964 is about 218.2853206522.

The spelling of 10400964 in words is "ten million, four hundred thousand, nine hundred sixty-four".