181318080 has 112 divisors (see below), whose sum is σ = 584484480. Its totient is φ = 47612928.

The previous prime is 181318043. The next prime is 181318087. The reversal of 181318080 is 80813181.

It is a super-2 number, since 2×181318080² = 65752492269772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181318087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62911 + ... + 65729.

Almost surely, 2^181318080 is an apocalyptic number.

181318080 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 181318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292242240).

181318080 is an abundant number, since it is smaller than the sum of its proper divisors (403166400).

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

181318080 is a wasteful number, since it uses less digits than its factorization.

181318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 181318080 is about 13465.4402081774. The cubic root of 181318080 is about 565.9964455986.

The spelling of 181318080 in words is "one hundred eighty-one million, three hundred eighteen thousand, eighty".