10566816 has 48 divisors (see below), whose sum is σ = 29875104. Its totient is φ = 3250944.

The previous prime is 10566799. The next prime is 10566833. The reversal of 10566816 is 61866501.

It is an interprime number because it is at equal distance from previous prime (10566799) and next prime (10566833).

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

It is a super-2 number, since 2×10566816² = 223315200755712, which contains 22 as substring.

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, 2986 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (622398).

Almost surely, 2^10566816 is an apocalyptic number.

10566816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10566816 is an abundant number, since it is smaller than the sum of its proper divisors (19308288).

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

10566816 is a wasteful number, since it uses less digits than its factorization.

10566816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10566816 is about 3250.6639321837. The cubic root of 10566816 is about 219.4394545228.

The spelling of 10566816 in words is "ten million, five hundred sixty-six thousand, eight hundred sixteen".