181632 has 64 divisors (see below), whose sum is σ = 538560. Its totient is φ = 53760.

The previous prime is 181619. The next prime is 181639. The reversal of 181632 is 236181.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 181599 and 181608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181639) by changing a digit.

181632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4203 + ... + 4245.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2¹⁸¹⁶³² is an apocalyptic number.

181632 is a gapful number since it is divisible by the number (12) 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 181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280).

181632 is an abundant number, since it is smaller than the sum of its proper divisors (356928).

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

181632 is a wasteful number, since it uses less digits than its factorization.

181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 181632 is about 426.1830592598. The cubic root of 181632 is about 56.6322897992.

The spelling of 181632 in words is "one hundred eighty-one thousand, six hundred thirty-two".