124628064 has 72 divisors (see below), whose sum is σ = 359626680. Its totient is φ = 37762560.

The previous prime is 124628059. The next prime is 124628081. The reversal of 124628064 is 460826421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 6252 + ... + 16980.

It is an arithmetic number, because the mean of its divisors is an integer number (4994815).

Almost surely, 2^124628064 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 124628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179813340).

124628064 is an abundant number, since it is smaller than the sum of its proper divisors (234998616).

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

124628064 is a wasteful number, since it uses less digits than its factorization.

124628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10764 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 124628064 is about 11163.6940122882. The cubic root of 124628064 is about 499.5035926559.

The spelling of 124628064 in words is "one hundred twenty-four million, six hundred twenty-eight thousand, sixty-four".