625417968 has 80 divisors (see below), whose sum is σ = 1884204800. Its totient is φ = 178686144.

The previous prime is 625417951. The next prime is 625417979. The reversal of 625417968 is 869714526.

625417968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×625417968² = 782295269394498048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2530 + ... + 35457.

It is an arithmetic number, because the mean of its divisors is an integer number (23552560).

Almost surely, 2^625417968 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 625417968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942102400).

625417968 is an abundant number, since it is smaller than the sum of its proper divisors (1258786832).

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

625417968 is a wasteful number, since it uses less digits than its factorization.

625417968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38019 (or 37999 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 625417968 is about 25008.3579628891. The cubic root of 625417968 is about 855.1785215954.

The spelling of 625417968 in words is "six hundred twenty-five million, four hundred seventeen thousand, nine hundred sixty-eight".