15971200 has 192 divisors, whose sum is σ = 48568320. Its totient is φ = 5068800.

The previous prime is 15971183. The next prime is 15971243. The reversal of 15971200 is 217951.

15971200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515185 + ... + 515215.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^15971200 is an apocalyptic number.

15971200 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 15971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

15971200 is an abundant number, since it is smaller than the sum of its proper divisors (32597120).

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

15971200 is a wasteful number, since it uses less digits than its factorization.

15971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 15971200 is about 3996.3983785404. The cubic root of 15971200 is about 251.8329286478.

The spelling of 15971200 in words is "fifteen million, nine hundred seventy-one thousand, two hundred".