512166960 has 120 divisors (see below), whose sum is σ = 1737303984. Its totient is φ = 135206400.

The previous prime is 512166959. The next prime is 512167003. The reversal of 512166960 is 69661215.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69199 + ... + 76241.

Almost surely, 2^512166960 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 512166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868651992).

512166960 is an abundant number, since it is smaller than the sum of its proper divisors (1225137024).

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

512166960 is a wasteful number, since it uses less digits than its factorization.

512166960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 512166960 is about 22631.1060268826. The cubic root of 512166960 is about 800.0869488829.

The spelling of 512166960 in words is "five hundred twelve million, one hundred sixty-six thousand, nine hundred sixty".