5790624 has 72 divisors (see below), whose sum is σ = 17696448. Its totient is φ = 1653120.

The previous prime is 5790623. The next prime is 5790643. The reversal of 5790624 is 4260975.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5790623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4089 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 2^5790624 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 5790624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848224).

5790624 is an abundant number, since it is smaller than the sum of its proper divisors (11905824).

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

5790624 is a wasteful number, since it uses less digits than its factorization.

5790624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5790624 is about 2406.3715423849. The cubic root of 5790624 is about 179.5733103198.

The spelling of 5790624 in words is "five million, seven hundred ninety thousand, six hundred twenty-four".