625138560 has 320 divisors, whose sum is σ = 2310422400. Its totient is φ = 160911360.

The previous prime is 625138559. The next prime is 625138567. The reversal of 625138560 is 65831526.

625138560 is a `hidden beast` number, since 6 + 2 + 513 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (625138567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606846 + ... + 1607234.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2^625138560 is an apocalyptic number.

625138560 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 625138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155211200).

625138560 is an abundant number, since it is smaller than the sum of its proper divisors (1685283840).

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

625138560 is a wasteful number, since it uses less digits than its factorization.

625138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 625138560 is about 25002.7710464260. The cubic root of 625138560 is about 855.0511511411.

The spelling of 625138560 in words is "six hundred twenty-five million, one hundred thirty-eight thousand, five hundred sixty".