124049664 has 144 divisors (see below), whose sum is σ = 372335040. Its totient is φ = 40734720.

The previous prime is 124049659. The next prime is 124049669. The reversal of 124049664 is 466940421.

It is an interprime number because it is at equal distance from previous prime (124049659) and next prime (124049669).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (124049669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905404 + ... + 905540.

It is an arithmetic number, because the mean of its divisors is an integer number (2585660).

Almost surely, 2^124049664 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 124049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186167520).

124049664 is an abundant number, since it is smaller than the sum of its proper divisors (248285376).

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

124049664 is a wasteful number, since it uses less digits than its factorization.

124049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 124049664 is about 11137.7584818490. The cubic root of 124049664 is about 498.7296605420.

The spelling of 124049664 in words is "one hundred twenty-four million, forty-nine thousand, six hundred sixty-four".