160516512 has 192 divisors, whose sum is σ = 521579520. Its totient is φ = 47692800.

The previous prime is 160516501. The next prime is 160516529. The reversal of 160516512 is 215615061.

It is a happy number.

160516512 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×160516512² = 51531101249292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 347962 + ... + 348422.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 2^160516512 is an apocalyptic number.

160516512 is a gapful number since it is divisible by the number (12) 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 160516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

160516512 is an abundant number, since it is smaller than the sum of its proper divisors (361063008).

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

160516512 is a wasteful number, since it uses less digits than its factorization.

160516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 160516512 is about 12669.5111192185. The cubic root of 160516512 is about 543.4670746919.

It can be divided in two parts, 160516 and 512, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 160516512 in words is "one hundred sixty million, five hundred sixteen thousand, five hundred twelve".