15378960 has 80 divisors (see below), whose sum is σ = 48121920. Its totient is φ = 4062720.

The previous prime is 15378959. The next prime is 15378971. The reversal of 15378960 is 6987351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33130 + ... + 33590.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 2^15378960 is an apocalyptic number.

15378960 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 15378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060960).

15378960 is an abundant number, since it is smaller than the sum of its proper divisors (32742960).

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

15378960 is a wasteful number, since it uses less digits than its factorization.

15378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 15378960 is about 3921.6017135859. The cubic root of 15378960 is about 248.6808381579.

The spelling of 15378960 in words is "fifteen million, three hundred seventy-eight thousand, nine hundred sixty".