4093920 has 72 divisors (see below), whose sum is σ = 13975416. Its totient is φ = 1091328.

The previous prime is 4093919. The next prime is 4093933. The reversal of 4093920 is 293904.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 19 + ... + 2861.

It is an arithmetic number, because the mean of its divisors is an integer number (194103).

Almost surely, 2^4093920 is an apocalyptic number.

4093920 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 4093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987708).

4093920 is an abundant number, since it is smaller than the sum of its proper divisors (9881496).

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

4093920 is a wasteful number, since it uses less digits than its factorization.

4093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4093920 is about 2023.3437671340. The cubic root of 4093920 is about 159.9729120810.

The spelling of 4093920 in words is "four million, ninety-three thousand, nine hundred twenty".