160729920 has 392 divisors, whose sum is σ = 629646696. Its totient is φ = 38817792.

The previous prime is 160729909. The next prime is 160729939. The reversal of 160729920 is 29927061.

160729920 is a `hidden beast` number, since 1 + 607 + 29 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 151585344 = 3024^2 + 12312^2 .

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 55 ways as a sum of consecutive naturals, for example, 3032614 + ... + 3032666.

Almost surely, 2^160729920 is an apocalyptic number.

160729920 is a gapful number since it is divisible by the number (10) 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 160729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314823348).

160729920 is an abundant number, since it is smaller than the sum of its proper divisors (468916776).

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

160729920 is an equidigital number, since it uses as much as digits as its factorization.

160729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 160729920 is about 12677.9304304764. The cubic root of 160729920 is about 543.7078159902.

The spelling of 160729920 in words is "one hundred sixty million, seven hundred twenty-nine thousand, nine hundred twenty".