124966944 has 72 divisors (see below), whose sum is σ = 363675312. Its totient is φ = 40682880.

The previous prime is 124966931. The next prime is 124966957. The reversal of 124966944 is 449669421.

It is an interprime number because it is at equal distance from previous prime (124966931) and next prime (124966957).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 124966944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7339 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (5051046).

Almost surely, 2^124966944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181837656).

124966944 is an abundant number, since it is smaller than the sum of its proper divisors (238708368).

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

124966944 is a wasteful number, since it uses less digits than its factorization.

124966944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 10139 counting only the distinct ones).

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

The square root of 124966944 is about 11178.8614804908. The cubic root of 124966944 is about 499.9559214476.

The spelling of 124966944 in words is "one hundred twenty-four million, nine hundred sixty-six thousand, nine hundred forty-four".