125623680 has 256 divisors, whose sum is σ = 493516800. Its totient is φ = 26468352.

The previous prime is 125623643. The next prime is 125623691. The reversal of 125623680 is 86326521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174361 + ... + 175079.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^125623680 is an apocalyptic number.

125623680 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 125623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

125623680 is an abundant number, since it is smaller than the sum of its proper divisors (367893120).

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

125623680 is a wasteful number, since it uses less digits than its factorization.

125623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 125623680 is about 11208.1970004100. The cubic root of 125623680 is about 500.8301941258.

The spelling of 125623680 in words is "one hundred twenty-five million, six hundred twenty-three thousand, six hundred eighty".