10400864 has 12 divisors (see below), whose sum is σ = 20476764. Its totient is φ = 5200416.

The previous prime is 10400851. The next prime is 10400869. The reversal of 10400864 is 46800401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400869) by changing a digit.

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 as a sum of consecutive naturals, namely, 162482 + ... + 162545.

It is an arithmetic number, because the mean of its divisors is an integer number (1706397).

Almost surely, 2^10400864 is an apocalyptic number.

It is an amenable number.

10400864 is a deficient number, since it is larger than the sum of its proper divisors (10075900).

10400864 is an equidigital number, since it uses as much as digits as its factorization.

10400864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325037 (or 325029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10400864 is about 3225.0370540507. The cubic root of 10400864 is about 218.2846210823.

The spelling of 10400864 in words is "ten million, four hundred thousand, eight hundred sixty-four".