507160680 has 128 divisors (see below), whose sum is σ = 1650136320. Its totient is φ = 123955200.

The previous prime is 507160669. The next prime is 507160697. The reversal of 507160680 is 86061705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234484 + ... + 236636.

It is an arithmetic number, because the mean of its divisors is an integer number (12891690).

Almost surely, 2^507160680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507160680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825068160).

507160680 is an abundant number, since it is smaller than the sum of its proper divisors (1142975640).

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

507160680 is a wasteful number, since it uses less digits than its factorization.

507160680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 507160680 is about 22520.2282404064. The cubic root of 507160680 is about 797.4715378514.

The spelling of 507160680 in words is "five hundred seven million, one hundred sixty thousand, six hundred eighty".