5896080 has 120 divisors (see below), whose sum is σ = 20891520. Its totient is φ = 1486080.

The previous prime is 5896057. The next prime is 5896123. The reversal of 5896080 is 806985.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13465 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^5896080 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 5896080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

5896080 is an abundant number, since it is smaller than the sum of its proper divisors (14995440).

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

5896080 is a wasteful number, since it uses less digits than its factorization.

5896080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5896080 is about 2428.1845069928. The cubic root of 5896080 is about 180.6568593204.

The spelling of 5896080 in words is "five million, eight hundred ninety-six thousand, eighty".