625268160 has 672 divisors, whose sum is σ = 2636105472. Its totient is φ = 139345920.

The previous prime is 625268129. The next prime is 625268197. The reversal of 625268160 is 61862526.

625268160 is a `hidden beast` number, since 625 + 26 + 8 + 1 + 6 + 0 = 666.

It is a super-3 number, since 3×625268160³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14541099 + ... + 14541141.

It is an arithmetic number, because the mean of its divisors is an integer number (3922776).

Almost surely, 2^625268160 is an apocalyptic number.

625268160 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 625268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318052736).

625268160 is an abundant number, since it is smaller than the sum of its proper divisors (2010837312).

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

625268160 is a wasteful number, since it uses less digits than its factorization.

625268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 625268160 is about 25005.3626248451. The cubic root of 625268160 is about 855.1102350943.

The spelling of 625268160 in words is "six hundred twenty-five million, two hundred sixty-eight thousand, one hundred sixty".