15968800 has 36 divisors (see below), whose sum is σ = 38985786. Its totient is φ = 6387200.

The previous prime is 15968791. The next prime is 15968809. The reversal of 15968800 is 886951.

It is an interprime number because it is at equal distance from previous prime (15968791) and next prime (15968809).

It can be written as a sum of positive squares in 3 ways, for example, as 14776336 + 1192464 = 3844^2 + 1092^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15968800.

It is not an unprimeable number, because it can be changed into a prime (15968809) by changing a digit.

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, 9181 + ... + 10780.

Almost surely, 2^15968800 is an apocalyptic number.

15968800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15968800 is an abundant number, since it is smaller than the sum of its proper divisors (23016986).

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

15968800 is a wasteful number, since it uses less digits than its factorization.

15968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19981 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 15968800 is about 3996.0980968940. The cubic root of 15968800 is about 251.8203136637.

The spelling of 15968800 in words is "fifteen million, nine hundred sixty-eight thousand, eight hundred".