16364800 has 54 divisors (see below), whose sum is σ = 40521278. Its totient is φ = 6543360.

The previous prime is 16364791. The next prime is 16364827. The reversal of 16364800 is 846361.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 15618304 = 864^2 + 3952^2 .

It is a congruent number.

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, 5122 + ... + 7678.

Almost surely, 2^16364800 is an apocalyptic number.

16364800 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 16364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260639).

16364800 is an abundant number, since it is smaller than the sum of its proper divisors (24156478).

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

16364800 is an equidigital number, since it uses as much as digits as its factorization.

16364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 16364800 is about 4045.3430015266. The cubic root of 16364800 is about 253.8849169690.

It can be divided in two parts, 16 and 364800, that added together give a square (364816 = 604²).

The spelling of 16364800 in words is "sixteen million, three hundred sixty-four thousand, eight hundred".