180874368 has 96 divisors (see below), whose sum is σ = 523783260. Its totient is φ = 59910144.

The previous prime is 180874327. The next prime is 180874381. The reversal of 180874368 is 863478081.

It can be written as a sum of positive squares in 2 ways, for example, as 163635264 + 17239104 = 12792^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 226546 + ... + 227342.

Almost surely, 2^180874368 is an apocalyptic number.

180874368 is a gapful number since it is divisible by the number (18) 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 180874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261891630).

180874368 is an abundant number, since it is smaller than the sum of its proper divisors (342908892).

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

180874368 is a wasteful number, since it uses less digits than its factorization.

180874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 180874368 is about 13448.9541600825. The cubic root of 180874368 is about 565.5343763036.

It can be divided in two parts, 1808 and 74368, that added together give a square (76176 = 276²).

The spelling of 180874368 in words is "one hundred eighty million, eight hundred seventy-four thousand, three hundred sixty-eight".