124896960 has 168 divisors, whose sum is σ = 455042016. Its totient is φ = 31334400.

The previous prime is 124896953. The next prime is 124896971. The reversal of 124896960 is 69698421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47685 + ... + 50235.

Almost surely, 2^124896960 is an apocalyptic number.

124896960 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 124896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227521008).

124896960 is an abundant number, since it is smaller than the sum of its proper divisors (330145056).

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

124896960 is a wasteful number, since it uses less digits than its factorization.

124896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 124896960 is about 11175.7308485844. The cubic root of 124896960 is about 499.8625755658.

The spelling of 124896960 in words is "one hundred twenty-four million, eight hundred ninety-six thousand, nine hundred sixty".