40320792 has 48 divisors (see below), whose sum is σ = 110282640. Its totient is φ = 13307328.

The previous prime is 40320781. The next prime is 40320803. The reversal of 40320792 is 29702304.

It is an interprime number because it is at equal distance from previous prime (40320781) and next prime (40320803).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4698 + ... + 10134.

It is an arithmetic number, because the mean of its divisors is an integer number (2297555).

Almost surely, 2^40320792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55141320).

40320792 is an abundant number, since it is smaller than the sum of its proper divisors (69961848).

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

40320792 is a wasteful number, since it uses less digits than its factorization.

40320792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40320792 is about 6349.8655103868. The cubic root of 40320792 is about 342.9070004875.

The spelling of 40320792 in words is "forty million, three hundred twenty thousand, seven hundred ninety-two".