181364880 has 160 divisors (see below), whose sum is σ = 611389440. Its totient is φ = 44305920.

The previous prime is 181364851. The next prime is 181364881. The reversal of 181364880 is 88463181.

It is not an unprimeable number, because it can be changed into a prime (181364881) 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 31 ways as a sum of consecutive naturals, for example, 140719 + ... + 142001.

It is an arithmetic number, because the mean of its divisors is an integer number (3821184).

Almost surely, 2^181364880 is an apocalyptic number.

181364880 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 181364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305694720).

181364880 is an abundant number, since it is smaller than the sum of its proper divisors (430024560).

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

181364880 is a wasteful number, since it uses less digits than its factorization.

181364880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 181364880 is about 13467.1778780857. The cubic root of 181364880 is about 566.0451378470.

The spelling of 181364880 in words is "one hundred eighty-one million, three hundred sixty-four thousand, eight hundred eighty".