4089792 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1093632.

The previous prime is 4089779. The next prime is 4089823. The reversal of 4089792 is 2979804.

It is a tau number, because it is divible by the number of its divisors (112).

It is a plaindrome in base 15.

It is a zygodrome in base 2 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4089792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22759 + ... + 22937.

Almost surely, 2^4089792 is an apocalyptic number.

4089792 is a gapful number since it is divisible by the number (42) 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 4089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4089792 is an abundant number, since it is smaller than the sum of its proper divisors (9077568).

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

4089792 is a wasteful number, since it uses less digits than its factorization.

4089792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 4089792 is about 2022.3234162715. The cubic root of 4089792 is about 159.9191257946.

Subtracting from 4089792 its product of nonzero digits (36288), we obtain a palindrome (4053504).

The spelling of 4089792 in words is "four million, eighty-nine thousand, seven hundred ninety-two".