181085632 has 224 divisors, whose sum is σ = 491581440. Its totient is φ = 64143360.

The previous prime is 181085587. The next prime is 181085669. The reversal of 181085632 is 236580181.

181085632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×181085632² = 65584012233678848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3069219 + ... + 3069277.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^181085632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

181085632 is an abundant number, since it is smaller than the sum of its proper divisors (310495808).

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

181085632 is a wasteful number, since it uses less digits than its factorization.

181085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 181085632 is about 13456.8061589665. The cubic root of 181085632 is about 565.7544748706.

The spelling of 181085632 in words is "one hundred eighty-one million, eighty-five thousand, six hundred thirty-two".