124768896 has 192 divisors, whose sum is σ = 406980000. Its totient is φ = 33675264.

The previous prime is 124768871. The next prime is 124768901. The reversal of 124768896 is 698867421.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357330 + ... + 357678.

Almost surely, 2^124768896 is an apocalyptic number.

124768896 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 124768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203490000).

124768896 is an abundant number, since it is smaller than the sum of its proper divisors (282211104).

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

124768896 is a wasteful number, since it uses less digits than its factorization.

124768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 124768896 is about 11169.9998209490. Note that the first 3 decimals coincide. The cubic root of 124768896 is about 499.6916712392.

The spelling of 124768896 in words is "one hundred twenty-four million, seven hundred sixty-eight thousand, eight hundred ninety-six".