40684 has 12 divisors (see below), whose sum is σ = 81424. Its totient is φ = 17424.

The previous prime is 40639. The next prime is 40693. The reversal of 40684 is 48604.

40684 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 699 + ... + 754.

2⁴⁰⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

40684 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (40712).

40684 is a wasteful number, since it uses less digits than its factorization.

40684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 40684 is about 201.7027515925. The cubic root of 40684 is about 34.3933554861.

The spelling of 40684 in words is "forty thousand, six hundred eighty-four".