124298560 has 112 divisors (see below), whose sum is σ = 318704976. Its totient is φ = 46006272.

The previous prime is 124298549. The next prime is 124298567. The reversal of 124298560 is 65892421.

It can be written as a sum of positive squares in 8 ways, for example, as 7139584 + 117158976 = 2672^2 + 10824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124298567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396964 + ... + 397276.

Almost surely, 2^124298560 is an apocalyptic number.

124298560 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 124298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159352488).

124298560 is an abundant number, since it is smaller than the sum of its proper divisors (194406416).

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

124298560 is a wasteful number, since it uses less digits than its factorization.

124298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 124298560 is about 11148.9264057128. The cubic root of 124298560 is about 499.0629917948.

The spelling of 124298560 in words is "one hundred twenty-four million, two hundred ninety-eight thousand, five hundred sixty".