181432980 has 96 divisors (see below), whose sum is σ = 571737600. Its totient is φ = 47758464.

The previous prime is 181432973. The next prime is 181432981. The reversal of 181432980 is 89234181.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181432981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40534 + ... + 44786.

It is an arithmetic number, because the mean of its divisors is an integer number (5955600).

Almost surely, 2^181432980 is an apocalyptic number.

181432980 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 181432980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285868800).

181432980 is an abundant number, since it is smaller than the sum of its proper divisors (390304620).

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

181432980 is a wasteful number, since it uses less digits than its factorization.

181432980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 181432980 is about 13469.7060101548. The cubic root of 181432980 is about 566.1159763508.

It can be divided in two parts, 1814329 and 80, that added together give a square (1814409 = 1347²).

The spelling of 181432980 in words is "one hundred eighty-one million, four hundred thirty-two thousand, nine hundred eighty".