10564400 has 150 divisors (see below), whose sum is σ = 32301132. Its totient is φ = 3292800.

The previous prime is 10564391. The next prime is 10564403. The reversal of 10564400 is 446501.

It is a happy number.

It is a super-2 number, since 2×10564400² = 223213094720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10564403) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 960395 + ... + 960405.

Almost surely, 2^10564400 is an apocalyptic number.

10564400 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 10564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150566).

10564400 is an abundant number, since it is smaller than the sum of its proper divisors (21736732).

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

10564400 is an equidigital number, since it uses as much as digits as its factorization.

10564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10564400 is about 3250.2922945483. The cubic root of 10564400 is about 219.4227290137.

The spelling of 10564400 in words is "ten million, five hundred sixty-four thousand, four hundred".