15648480 has 72 divisors (see below), whose sum is σ = 53405352. Its totient is φ = 4172544.

The previous prime is 15648467. The next prime is 15648491. The reversal of 15648480 is 8484651.

15648480 is a `hidden beast` number, since 1 + 5 + 648 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3994 + ... + 6873.

It is an arithmetic number, because the mean of its divisors is an integer number (741741).

Almost surely, 2^15648480 is an apocalyptic number.

15648480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15648480 is an abundant number, since it is smaller than the sum of its proper divisors (37756872).

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

15648480 is a wasteful number, since it uses less digits than its factorization.

15648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 15648480 is about 3955.8159714527. The cubic root of 15648480 is about 250.1251639921.

The spelling of 15648480 in words is "fifteen million, six hundred forty-eight thousand, four hundred eighty".