10564416 has 42 divisors (see below), whose sum is σ = 30282642. Its totient is φ = 3521280.

The previous prime is 10564409. The next prime is 10564423. The reversal of 10564416 is 61446501.

10564416 is a `hidden beast` number, since 1 + 0 + 5 + 644 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (10564409) and next prime (10564423).

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 3594816 = 2640^2 + 1896^2 .

It is a super-2 number, since 2×10564416² = 223213770842112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10564416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8595 + ... + 9746.

Almost surely, 2^10564416 is an apocalyptic number.

10564416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10564416 is an abundant number, since it is smaller than the sum of its proper divisors (19718226).

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

10564416 is a wasteful number, since it uses less digits than its factorization.

10564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18359 (or 18346 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10564416 is about 3250.2947558645. The cubic root of 10564416 is about 219.4228397870.

The spelling of 10564416 in words is "ten million, five hundred sixty-four thousand, four hundred sixteen".