625168320 has 224 divisors, whose sum is σ = 2342424576. Its totient is φ = 138240000.

The previous prime is 625168309. The next prime is 625168331. The reversal of 625168320 is 23861526.

It is an interprime number because it is at equal distance from previous prime (625168309) and next prime (625168331).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206820 + ... + 209820.

Almost surely, 2^625168320 is an apocalyptic number.

625168320 is a gapful number since it is divisible by the number (60) 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 625168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171212288).

625168320 is an abundant number, since it is smaller than the sum of its proper divisors (1717256256).

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

625168320 is a wasteful number, since it uses less digits than its factorization.

625168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 625168320 is about 25003.3661733775. The cubic root of 625168320 is about 855.0647192896.

The spelling of 625168320 in words is "six hundred twenty-five million, one hundred sixty-eight thousand, three hundred twenty".