625656960 has 288 divisors, whose sum is σ = 2258509500. Its totient is φ = 165722112.

The previous prime is 625656953. The next prime is 625656961. The reversal of 625656960 is 69656526.

625656960 is a `hidden beast` number, since 6 + 25 + 6 + 569 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 574848576 + 50808384 = 23976^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (625656961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198966 + ... + 4199114.

Almost surely, 2^625656960 is an apocalyptic number.

625656960 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 625656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129254750).

625656960 is an abundant number, since it is smaller than the sum of its proper divisors (1632852540).

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

625656960 is an frugal number, since it uses more digits than its factorization.

625656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 625656960 is about 25013.1357490419. The cubic root of 625656960 is about 855.2874379829.

The spelling of 625656960 in words is "six hundred twenty-five million, six hundred fifty-six thousand, nine hundred sixty".