5856000 has 144 divisors (see below), whose sum is σ = 19769568. Its totient is φ = 1536000.

The previous prime is 5855981. The next prime is 5856013. The reversal of 5856000 is 6585.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 95970 + ... + 96030.

Almost surely, 2^5856000 is an apocalyptic number.

5856000 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 5856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884784).

5856000 is an abundant number, since it is smaller than the sum of its proper divisors (13913568).

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

5856000 is an equidigital number, since it uses as much as digits as its factorization.

5856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5856000 is about 2419.9173539607. The cubic root of 5856000 is about 180.2465756507.

The spelling of 5856000 in words is "five million, eight hundred fifty-six thousand".