16564400 has 30 divisors (see below), whose sum is σ = 39796932. Its totient is φ = 6625600.

The previous prime is 16564397. The next prime is 16564411. The reversal of 16564400 is 446561.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16564400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20306 + ... + 21105.

Almost surely, 2^16564400 is an apocalyptic number.

16564400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16564400 is an abundant number, since it is smaller than the sum of its proper divisors (23232532).

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

16564400 is a wasteful number, since it uses less digits than its factorization.

16564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41429 (or 41418 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 16564400 is about 4069.9385744750. The cubic root of 16564400 is about 254.9129524749.

The spelling of 16564400 in words is "sixteen million, five hundred sixty-four thousand, four hundred".