40920 has 64 divisors (see below), whose sum is σ = 138240. Its totient is φ = 9600.

The previous prime is 40903. The next prime is 40927. The reversal of 40920 is 2904.

40920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

40920 is a nontrivial binomial coefficient, being equal to C(33, 4).

It is a Harshad number since it is a multiple of its sum of digits (15).

40920 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 40920.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40920.

It is not an unprimeable number, because it can be changed into a prime (40927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2⁴⁰⁹²⁰ is an apocalyptic number.

40920 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 40920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

40920 is an abundant number, since it is smaller than the sum of its proper divisors (97320).

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

40920 is a wasteful number, since it uses less digits than its factorization.

40920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 40920 is about 202.2869249358. The cubic root of 40920 is about 34.4597303718.

The spelling of 40920 in words is "forty thousand, nine hundred twenty".