181560960 has 512 divisors, whose sum is σ = 783360000. Its totient is φ = 38817792.

The previous prime is 181560959. The next prime is 181560989. The reversal of 181560960 is 69065181.

181560960 is a `hidden beast` number, since 1 + 8 + 1 + 560 + 96 + 0 = 666.

181560960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×181560960² = 65928764392243200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298201 + ... + 2298279.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 2^181560960 is an apocalyptic number.

181560960 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 181560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391680000).

181560960 is an abundant number, since it is smaller than the sum of its proper divisors (601799040).

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

181560960 is a wasteful number, since it uses less digits than its factorization.

181560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 181560960 is about 13474.4558331682. The cubic root of 181560960 is about 566.2490548644.

The spelling of 181560960 in words is "one hundred eighty-one million, five hundred sixty thousand, nine hundred sixty".