5799600 has 150 divisors (see below), whose sum is σ = 20930580. Its totient is φ = 1537920.

The previous prime is 5799589. The next prime is 5799613. The reversal of 5799600 is 69975.

5799600 is digitally balanced in base 4, 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 (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32311 + ... + 32489.

Almost surely, 2^5799600 is an apocalyptic number.

5799600 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 5799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465290).

5799600 is an abundant number, since it is smaller than the sum of its proper divisors (15130980).

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

5799600 is a wasteful number, since it uses less digits than its factorization.

5799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 5799600 is about 2408.2358688467. The cubic root of 5799600 is about 179.6660474704. Note that the first 3 decimals are identical.

The spelling of 5799600 in words is "five million, seven hundred ninety-nine thousand, six hundred".