10564800 has 168 divisors, whose sum is σ = 36283392. Its totient is φ = 2688000.

The previous prime is 10564793. The next prime is 10564811. The reversal of 10564800 is 846501.

It is a super-2 number, since 2×10564800² = 223229998080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148765 + ... + 148835.

Almost surely, 2^10564800 is an apocalyptic number.

10564800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141696).

10564800 is an abundant number, since it is smaller than the sum of its proper divisors (25718592).

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

10564800 is a wasteful number, since it uses less digits than its factorization.

10564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10564800 is about 3250.3538268933. The cubic root of 10564800 is about 219.4254983139.

The spelling of 10564800 in words is "ten million, five hundred sixty-four thousand, eight hundred".