40680 has 48 divisors (see below), whose sum is σ = 133380. Its totient is φ = 10752.

The previous prime is 40639. The next prime is 40693. The reversal of 40680 is 8604.

Added to its reverse (8604) it gives a square (49284 = 222²).

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 6084 = 186^2 + 78^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

40680 is an undulating number in base 15.

It is an unprimeable number.

40680 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 11 ways as a sum of consecutive naturals, for example, 304 + ... + 416.

2⁴⁰⁶⁸⁰ is an apocalyptic number.

40680 is a gapful number since it is divisible by the number (40) 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 40680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

40680 is an abundant number, since it is smaller than the sum of its proper divisors (92700).

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

40680 is a wasteful number, since it uses less digits than its factorization.

40680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40680 is about 201.6928357677. The cubic root of 40680 is about 34.3922282786.

Adding to 40680 its reverse (8604), we get a square (49284 = 222²).

The spelling of 40680 in words is "forty thousand, six hundred eighty".