5896800 has 360 divisors, whose sum is σ = 26467056. Its totient is φ = 1244160.

The previous prime is 5896777. The next prime is 5896811. The reversal of 5896800 is 86985.

5896800 is digitally balanced in base 8, 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 (360).

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

5896800 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453594 + ... + 453606.

Almost surely, 2^5896800 is an apocalyptic number.

5896800 is a gapful number since it is divisible by the number (50) 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 5896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233528).

5896800 is an abundant number, since it is smaller than the sum of its proper divisors (20570256).

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

5896800 is a wasteful number, since it uses less digits than its factorization.

5896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

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

The square root of 5896800 is about 2428.3327613818. The cubic root of 5896800 is about 180.6642126605.

The spelling of 5896800 in words is "five million, eight hundred ninety-six thousand, eight hundred".