625580160 has 128 divisors (see below), whose sum is σ = 2015193600. Its totient is φ = 165052416.

The previous prime is 625580113. The next prime is 625580167. The reversal of 625580160 is 61085526.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (625580167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184561 + ... + 187919.

It is an arithmetic number, because the mean of its divisors is an integer number (15743700).

Almost surely, 2^625580160 is an apocalyptic number.

625580160 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 625580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007596800).

625580160 is an abundant number, since it is smaller than the sum of its proper divisors (1389613440).

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

625580160 is a wasteful number, since it uses less digits than its factorization.

625580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 625580160 is about 25011.6005085640. The cubic root of 625580160 is about 855.2524407628.

The spelling of 625580160 in words is "six hundred twenty-five million, five hundred eighty thousand, one hundred sixty".