15378816 has 64 divisors (see below), whose sum is σ = 42289200. Its totient is φ = 4945920.

The previous prime is 15378799. The next prime is 15378817. The reversal of 15378816 is 61887351.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15378817) 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, 10446 + ... + 11826.

Almost surely, 2^15378816 is an apocalyptic number.

15378816 is a gapful number since it is divisible by the number (16) 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 15378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144600).

15378816 is an abundant number, since it is smaller than the sum of its proper divisors (26910384).

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

15378816 is a wasteful number, since it uses less digits than its factorization.

15378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1415 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 15378816 is about 3921.5833536978. The cubic root of 15378816 is about 248.6800619860.

The spelling of 15378816 in words is "fifteen million, three hundred seventy-eight thousand, eight hundred sixteen".