625153920 has 256 divisors, whose sum is σ = 2141510400. Its totient is φ = 154566656.

The previous prime is 625153901. The next prime is 625153927. The reversal of 625153920 is 29351526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625153927) 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 31 ways as a sum of consecutive naturals, for example, 3492391 + ... + 3492569.

It is an arithmetic number, because the mean of its divisors is an integer number (8365275).

Almost surely, 2^625153920 is an apocalyptic number.

625153920 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 625153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070755200).

625153920 is an abundant number, since it is smaller than the sum of its proper divisors (1516356480).

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

625153920 is a wasteful number, since it uses less digits than its factorization.

625153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 625153920 is about 25003.0782104924. The cubic root of 625153920 is about 855.0581541102.

The spelling of 625153920 in words is "six hundred twenty-five million, one hundred fifty-three thousand, nine hundred twenty".