15984000 has 256 divisors, whose sum is σ = 60465600. Its totient is φ = 4147200.

The previous prime is 15983993. The next prime is 15984019. The reversal of 15984000 is 48951.

15984000 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431982 + ... + 432018.

Almost surely, 2^15984000 is an apocalyptic number.

15984000 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 15984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30232800).

15984000 is an abundant number, since it is smaller than the sum of its proper divisors (44481600).

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

15984000 is an equidigital number, since it uses as much as digits as its factorization.

15984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 15984000 is about 3997.9994997498. Note that the first 3 decimals coincide. The cubic root of 15984000 is about 251.9001872285.

The spelling of 15984000 in words is "fifteen million, nine hundred eighty-four thousand".