624896064 has 168 divisors, whose sum is σ = 2042815320. Its totient is φ = 180928512.

The previous prime is 624896059. The next prime is 624896087. The reversal of 624896064 is 460698426.

It can be written as a sum of positive squares in 4 ways, for example, as 256256064 + 368640000 = 16008^2 + 19200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124842 + ... + 129750.

It is an arithmetic number, because the mean of its divisors is an integer number (12159615).

Almost surely, 2^624896064 is an apocalyptic number.

624896064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 624896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021407660).

624896064 is an abundant number, since it is smaller than the sum of its proper divisors (1417919256).

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

624896064 is a wasteful number, since it uses less digits than its factorization.

624896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 624896064 is about 24997.9211935713. The cubic root of 624896064 is about 854.9405765616.

The spelling of 624896064 in words is "six hundred twenty-four million, eight hundred ninety-six thousand, sixty-four".