15624480 has 96 divisors (see below), whose sum is σ = 50428224. Its totient is φ = 4064256.

The previous prime is 15624391. The next prime is 15624487. The reversal of 15624480 is 8442651.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15624487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20262 + ... + 21018.

It is an arithmetic number, because the mean of its divisors is an integer number (525294).

Almost surely, 2^15624480 is an apocalyptic number.

15624480 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 15624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214112).

15624480 is an abundant number, since it is smaller than the sum of its proper divisors (34803744).

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

15624480 is a wasteful number, since it uses less digits than its factorization.

15624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 15624480 is about 3952.7812992879. The cubic root of 15624480 is about 249.9972266359.

The spelling of 15624480 in words is "fifteen million, six hundred twenty-four thousand, four hundred eighty".