15968400 has 120 divisors (see below), whose sum is σ = 58490304. Its totient is φ = 3648000.

The previous prime is 15968383. The next prime is 15968413. The reversal of 15968400 is 486951.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 7450 + ... + 9350.

Almost surely, 2^15968400 is an apocalyptic number.

15968400 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 15968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29245152).

15968400 is an abundant number, since it is smaller than the sum of its proper divisors (42521904).

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

15968400 is a wasteful number, since it uses less digits than its factorization.

15968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1918 counting only the distinct ones).

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

The square root of 15968400 is about 3996.0480477592. The cubic root of 15968400 is about 251.8182110434.

The spelling of 15968400 in words is "fifteen million, nine hundred sixty-eight thousand, four hundred".