40579920 has 80 divisors (see below), whose sum is σ = 139782720. Its totient is φ = 10820736.

The previous prime is 40579919. The next prime is 40579921. The reversal of 40579920 is 2997504.

It is an interprime number because it is at equal distance from previous prime (40579919) and next prime (40579921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40579921) 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, 7234 + ... + 11553.

It is an arithmetic number, because the mean of its divisors is an integer number (1747284).

Almost surely, 2^40579920 is an apocalyptic number.

40579920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40579920 is an abundant number, since it is smaller than the sum of its proper divisors (99202800).

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

40579920 is a wasteful number, since it uses less digits than its factorization.

40579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18809 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 40579920 is about 6370.2370442551. The cubic root of 40579920 is about 343.6400146203.

The spelling of 40579920 in words is "forty million, five hundred seventy-nine thousand, nine hundred twenty".