40632 has 16 divisors (see below), whose sum is σ = 101640. Its totient is φ = 13536.

The previous prime is 40627. The next prime is 40637. The reversal of 40632 is 23604.

It is an interprime number because it is at equal distance from previous prime (40627) and next prime (40637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 823 + ... + 870.

2⁴⁰⁶³² is an apocalyptic number.

It is an amenable number.

40632 is an abundant number, since it is smaller than the sum of its proper divisors (61008).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50820).

40632 is a wasteful number, since it uses less digits than its factorization.

40632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40632 is about 201.5738078223. The cubic root of 40632 is about 34.3786960213.

The spelling of 40632 in words is "forty thousand, six hundred thirty-two".