15993120 has 192 divisors, whose sum is σ = 59439744. Its totient is φ = 3563520.

The previous prime is 15993053. The next prime is 15993143. The reversal of 15993120 is 2139951.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 68524 + ... + 68756.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^15993120 is an apocalyptic number.

15993120 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 15993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

15993120 is an abundant number, since it is smaller than the sum of its proper divisors (43446624).

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

15993120 is a wasteful number, since it uses less digits than its factorization.

15993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 15993120 is about 3999.1399075301. The cubic root of 15993120 is about 251.9480870641.

It can be divided in two parts, 159931 and 20, that added together give a palindrome (159951).

The spelling of 15993120 in words is "fifteen million, nine hundred ninety-three thousand, one hundred twenty".