15432960 has 72 divisors (see below), whose sum is σ = 49301280. Its totient is φ = 4114432.

The previous prime is 15432953. The next prime is 15432961. The reversal of 15432960 is 6923451.

15432960 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15432961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1831 + ... + 5849.

It is an arithmetic number, because the mean of its divisors is an integer number (684740).

Almost surely, 2^15432960 is an apocalyptic number.

15432960 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 15432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24650640).

15432960 is an abundant number, since it is smaller than the sum of its proper divisors (33868320).

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

15432960 is an equidigital number, since it uses as much as digits as its factorization.

15432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 15432960 is about 3928.4806223272. The cubic root of 15432960 is about 248.9715617269.

The spelling of 15432960 in words is "fifteen million, four hundred thirty-two thousand, nine hundred sixty".