5842880 has 84 divisors (see below), whose sum is σ = 15133320. Its totient is φ = 2142720.

The previous prime is 5842877. The next prime is 5842901. The reversal of 5842880 is 882485.

It is a super-4 number, since 4×5842880⁴ (a number of 28 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5842880.

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, 188465 + ... + 188495.

Almost surely, 2^5842880 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 5842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566660).

5842880 is an abundant number, since it is smaller than the sum of its proper divisors (9290440).

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

5842880 is a wasteful number, since it uses less digits than its factorization.

5842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 5842880 is about 2417.2049975126. The cubic root of 5842880 is about 180.1118646215. Note that the first 3 decimals are identical.

The spelling of 5842880 in words is "five million, eight hundred forty-two thousand, eight hundred eighty".