15648160 has 96 divisors (see below), whose sum is σ = 42783552. Its totient is φ = 5345280.

The previous prime is 15648131. The next prime is 15648161. The reversal of 15648160 is 6184651.

15648160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×15648160² = 489729822771200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15648161) 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, 29659 + ... + 30181.

It is an arithmetic number, because the mean of its divisors is an integer number (445662).

Almost surely, 2^15648160 is an apocalyptic number.

15648160 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 15648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391776).

15648160 is an abundant number, since it is smaller than the sum of its proper divisors (27135392).

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

15648160 is a wasteful number, since it uses less digits than its factorization.

15648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 15648160 is about 3955.7755244705. The cubic root of 15648160 is about 250.1234590214.

The spelling of 15648160 in words is "fifteen million, six hundred forty-eight thousand, one hundred sixty".