625282560 has 240 divisors, whose sum is σ = 2475529056. Its totient is φ = 142884864.

The previous prime is 625282529. The next prime is 625282561. The reversal of 625282560 is 65282526.

625282560 is a `hidden beast` number, since 625 + 2 + 8 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625282561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159342 + ... + 163218.

Almost surely, 2^625282560 is an apocalyptic number.

625282560 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 625282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237764528).

625282560 is an abundant number, since it is smaller than the sum of its proper divisors (1850246496).

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

625282560 is a wasteful number, since it uses less digits than its factorization.

625282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 625282560 is about 25005.6505614231. The cubic root of 625282560 is about 855.1167994740.

The spelling of 625282560 in words is "six hundred twenty-five million, two hundred eighty-two thousand, five hundred sixty".