617125320 has 192 divisors, whose sum is σ = 2413008000. Its totient is φ = 133622784.

The previous prime is 617125319. The next prime is 617125361. The reversal of 617125320 is 23521716.

It is a happy number.

617125320 is a `hidden beast` number, since 61 + 71 + 2 + 532 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41436 + ... + 54324.

It is an arithmetic number, because the mean of its divisors is an integer number (12567750).

Almost surely, 2^617125320 is an apocalyptic number.

617125320 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 617125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206504000).

617125320 is an abundant number, since it is smaller than the sum of its proper divisors (1795882680).

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

617125320 is a wasteful number, since it uses less digits than its factorization.

617125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12932 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 617125320 is about 24842.0071652836. The cubic root of 617125320 is about 851.3819825501.

The spelling of 617125320 in words is "six hundred seventeen million, one hundred twenty-five thousand, three hundred twenty".