181032480 has 72 divisors (see below), whose sum is σ = 617778252. Its totient is φ = 48274944.

The previous prime is 181032479. The next prime is 181032487. The reversal of 181032480 is 84230181.

181032480 is a `hidden beast` number, since 181 + 0 + 3 + 2 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180956304 + 76176 = 13452^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (181032487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61419 + ... + 64298.

Almost surely, 2^181032480 is an apocalyptic number.

181032480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181032480 is an abundant number, since it is smaller than the sum of its proper divisors (436745772).

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

181032480 is a wasteful number, since it uses less digits than its factorization.

181032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125738 (or 125727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 181032480 is about 13454.8311026189. The cubic root of 181032480 is about 565.6991163014.

The spelling of 181032480 in words is "one hundred eighty-one million, thirty-two thousand, four hundred eighty".