625858560 has 144 divisors (see below), whose sum is σ = 2169432720. Its totient is φ = 166871040.

The previous prime is 625858531. The next prime is 625858567. The reversal of 625858560 is 65858526.

625858560 is a `hidden beast` number, since 6 + 2 + 5 + 8 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625858567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88765 + ... + 95555.

It is an arithmetic number, because the mean of its divisors is an integer number (15065505).

Almost surely, 2^625858560 is an apocalyptic number.

625858560 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 625858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084716360).

625858560 is an abundant number, since it is smaller than the sum of its proper divisors (1543574160).

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

625858560 is a wasteful number, since it uses less digits than its factorization.

625858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 625858560 is about 25017.1653070447. The cubic root of 625858560 is about 855.3792920617.

The spelling of 625858560 in words is "six hundred twenty-five million, eight hundred fifty-eight thousand, five hundred sixty".