5815920 has 80 divisors (see below), whose sum is σ = 19677312. Its totient is φ = 1409280.

The previous prime is 5815907. The next prime is 5815937. The reversal of 5815920 is 295185.

5815920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (30).

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, 1539 + ... + 3741.

Almost surely, 2^5815920 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 5815920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838656).

5815920 is an abundant number, since it is smaller than the sum of its proper divisors (13861392).

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

5815920 is a wasteful number, since it uses less digits than its factorization.

5815920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5815920 is about 2411.6218609061. The cubic root of 5815920 is about 179.8344156247.

The spelling of 5815920 in words is "five million, eight hundred fifteen thousand, nine hundred twenty".