125624560 has 80 divisors (see below), whose sum is σ = 313854912. Its totient is φ = 46592000.

The previous prime is 125624557. The next prime is 125624563. The reversal of 125624560 is 65426521.

It is an interprime number because it is at equal distance from previous prime (125624557) and next prime (125624563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125624563) 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, 95910 + ... + 97210.

Almost surely, 2^125624560 is an apocalyptic number.

125624560 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 125624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156927456).

125624560 is an abundant number, since it is smaller than the sum of its proper divisors (188230352).

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

125624560 is a wasteful number, since it uses less digits than its factorization.

125624560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 125624560 is about 11208.2362573243. The cubic root of 125624560 is about 500.8313635698.

The spelling of 125624560 in words is "one hundred twenty-five million, six hundred twenty-four thousand, five hundred sixty".