15379968 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 4423680.

The previous prime is 15379967. The next prime is 15379993. The reversal of 15379968 is 86997351.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (408240) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15379967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496113 + ... + 496143.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^15379968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

15379968 is an abundant number, since it is smaller than the sum of its proper divisors (31759872).

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

15379968 is a wasteful number, since it uses less digits than its factorization.

15379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 15379968 is about 3921.7302303958. The cubic root of 15379968 is about 248.6862712260.

The spelling of 15379968 in words is "fifteen million, three hundred seventy-nine thousand, nine hundred sixty-eight".