180811296 has 144 divisors (see below), whose sum is σ = 547223040. Its totient is φ = 56471040.

The previous prime is 180811289. The next prime is 180811321. The reversal of 180811296 is 692118081.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×180811296² = 65385449522399232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 180811296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946561 + ... + 946751.

It is an arithmetic number, because the mean of its divisors is an integer number (3800160).

Almost surely, 2^180811296 is an apocalyptic number.

180811296 is a gapful number since it is divisible by the number (16) 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 180811296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

180811296 is an abundant number, since it is smaller than the sum of its proper divisors (366411744).

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

180811296 is a wasteful number, since it uses less digits than its factorization.

180811296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 180811296 is about 13446.6090892834. The cubic root of 180811296 is about 565.4686335610.

The spelling of 180811296 in words is "one hundred eighty million, eight hundred eleven thousand, two hundred ninety-six".