124488864 has 72 divisors (see below), whose sum is σ = 355403412. Its totient is φ = 41333760.

The previous prime is 124488821. The next prime is 124488869. The reversal of 124488864 is 468884421.

It can be written as a sum of positive squares in 2 ways, for example, as 107744400 + 16744464 = 10380^2 + 4092^2 .

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 not an unprimeable number, because it can be changed into a prime (124488869) 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 11 ways as a sum of consecutive naturals, for example, 89454 + ... + 90834.

Almost surely, 2^124488864 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 124488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177701706).

124488864 is an abundant number, since it is smaller than the sum of its proper divisors (230914548).

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

124488864 is a wasteful number, since it uses less digits than its factorization.

124488864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1699 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 124488864 is about 11157.4577749593. The cubic root of 124488864 is about 499.3175542928.

It can be divided in two parts, 12448 and 8864, that added together give a palindrome (21312).

The spelling of 124488864 in words is "one hundred twenty-four million, four hundred eighty-eight thousand, eight hundred sixty-four".