15378976 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 7223040.

The previous prime is 15378971. The next prime is 15378991. The reversal of 15378976 is 67987351.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (15378971) 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, 36495 + ... + 36913.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^15378976 is an apocalyptic number.

15378976 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 15378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

15378976 is an abundant number, since it is smaller than the sum of its proper divisors (16796384).

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

15378976 is a wasteful number, since it uses less digits than its factorization.

15378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its digits is 317520, while the sum is 46.

The square root of 15378976 is about 3921.6037535682. The cubic root of 15378976 is about 248.6809243990.

The spelling of 15378976 in words is "fifteen million, three hundred seventy-eight thousand, nine hundred seventy-six".