124987968 has 112 divisors (see below), whose sum is σ = 419973760. Its totient is φ = 35707392.

The previous prime is 124987943. The next prime is 124987969. The reversal of 124987968 is 869789421.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (124987969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6930 + ... + 17262.

Almost surely, 2^124987968 is an apocalyptic number.

124987968 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 124987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986880).

124987968 is an abundant number, since it is smaller than the sum of its proper divisors (294985792).

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

124987968 is a wasteful number, since it uses less digits than its factorization.

124987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10345 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 124987968 is about 11179.8017871517. The cubic root of 124987968 is about 499.9839568186.

The spelling of 124987968 in words is "one hundred twenty-four million, nine hundred eighty-seven thousand, nine hundred sixty-eight".