125680896 has 360 divisors, whose sum is σ = 445183200. Its totient is φ = 34836480.

The previous prime is 125680889. The next prime is 125680921. The reversal of 125680896 is 698086521.

125680896 is a `hidden beast` number, since 1 + 2 + 568 + 0 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4333810 + ... + 4333838.

It is an arithmetic number, because the mean of its divisors is an integer number (1236620).

Almost surely, 2^125680896 is an apocalyptic number.

125680896 is a gapful number since it is divisible by the number (16) 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 125680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222591600).

125680896 is an abundant number, since it is smaller than the sum of its proper divisors (319502304).

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

125680896 is a wasteful number, since it uses less digits than its factorization.

125680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 125680896 is about 11210.7491275115. The cubic root of 125680896 is about 500.9062178794.

Subtracting 125680896 from its reverse (698086521), we obtain a square (572405625 = 23925²).

The spelling of 125680896 in words is "one hundred twenty-five million, six hundred eighty thousand, eight hundred ninety-six".