10400968 has 16 divisors (see below), whose sum is σ = 20350080. Its totient is φ = 4974288.

The previous prime is 10400947. The next prime is 10400977. The reversal of 10400968 is 86900401.

10400968 is digitally balanced in base 2, because in such base 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 3 ways as a sum of consecutive naturals, for example, 28080 + ... + 28447.

It is an arithmetic number, because the mean of its divisors is an integer number (1271880).

Almost surely, 2^10400968 is an apocalyptic number.

It is an amenable number.

10400968 is a deficient number, since it is larger than the sum of its proper divisors (9949112).

10400968 is a wasteful number, since it uses less digits than its factorization.

10400968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56556 (or 56552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10400968 is about 3225.0531778561. The cubic root of 10400968 is about 218.2853486349.

The spelling of 10400968 in words is "ten million, four hundred thousand, nine hundred sixty-eight".