124663968 has 192 divisors, whose sum is σ = 427593600. Its totient is φ = 34836480.

The previous prime is 124663967. The next prime is 124663993. The reversal of 124663968 is 869366421.

124663968 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 639 + 6 + 8 = 666.

It is a super-2 number, since 2×124663968² = 31082209835010048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124663961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123048 + ... + 124056.

It is an arithmetic number, because the mean of its divisors is an integer number (2227050).

Almost surely, 2^124663968 is an apocalyptic number.

124663968 is a gapful number since it is divisible by the number (18) 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 124663968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213796800).

124663968 is an abundant number, since it is smaller than the sum of its proper divisors (302929632).

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

124663968 is a wasteful number, since it uses less digits than its factorization.

124663968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 124663968 is about 11165.3019663599. The cubic root of 124663968 is about 499.5515552482.

The spelling of 124663968 in words is "one hundred twenty-four million, six hundred sixty-three thousand, nine hundred sixty-eight".