5860800 has 252 divisors, whose sum is σ = 23338536. Its totient is φ = 1382400.

The previous prime is 5860787. The next prime is 5860807. The reversal of 5860800 is 80685.

5860800 is a `hidden beast` number, since 58 + 608 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5860807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158382 + ... + 158418.

Almost surely, 2^5860800 is an apocalyptic number.

5860800 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 5860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11669268).

5860800 is an abundant number, since it is smaller than the sum of its proper divisors (17477736).

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

5860800 is a wasteful number, since it uses less digits than its factorization.

5860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5860800 is about 2420.9089202198. The cubic root of 5860800 is about 180.2958098995.

The spelling of 5860800 in words is "five million, eight hundred sixty thousand, eight hundred".