10416864 has 48 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 3288960.

The previous prime is 10416853. The next prime is 10416871. The reversal of 10416864 is 46861401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10416864² = 217022111188992, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032 + ... + 4679.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 2^10416864 is an apocalyptic number.

It is an amenable number.

10416864 is an abundant number, since it is smaller than the sum of its proper divisors (18371616).

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

10416864 is a wasteful number, since it uses less digits than its factorization.

10416864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10416864 is about 3227.5166924433. The cubic root of 10416864 is about 218.3964952677.

The spelling of 10416864 in words is "ten million, four hundred sixteen thousand, eight hundred sixty-four".