124289664 has 128 divisors (see below), whose sum is σ = 348986880. Its totient is φ = 39137280.

The previous prime is 124289663. The next prime is 124289681. The reversal of 124289664 is 466982421.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (124289663) 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, 630814 + ... + 631010.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 2^124289664 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 124289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440).

124289664 is an abundant number, since it is smaller than the sum of its proper divisors (224697216).

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

124289664 is a wasteful number, since it uses less digits than its factorization.

124289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 124289664 is about 11148.5274363927. The cubic root of 124289664 is about 499.0510855955.

The spelling of 124289664 in words is "one hundred twenty-four million, two hundred eighty-nine thousand, six hundred sixty-four".