15625120 has 72 divisors (see below), whose sum is σ = 42962724. Its totient is φ = 5354496.

The previous prime is 15625117. The next prime is 15625121. The reversal of 15625120 is 2152651.

It can be written as a sum of positive squares in 2 ways, for example, as 15586704 + 38416 = 3948^2 + 196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15625091 and 15625100.

It is not an unprimeable number, because it can be changed into a prime (15625121) by changing a digit.

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, 6844 + ... + 8836.

Almost surely, 2^15625120 is an apocalyptic number.

15625120 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 15625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481362).

15625120 is an abundant number, since it is smaller than the sum of its proper divisors (27337604).

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

15625120 is a wasteful number, since it uses less digits than its factorization.

15625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 15625120 is about 3952.8622541141. The cubic root of 15625120 is about 250.0006399984. Note that the first 3 decimals are identical.

Adding to 15625120 its reverse (2152651), we get a palindrome (17777771).

The spelling of 15625120 in words is "fifteen million, six hundred twenty-five thousand, one hundred twenty".