5825600 has 84 divisors (see below), whose sum is σ = 15685008. Its totient is φ = 2112000.

The previous prime is 5825593. The next prime is 5825627. The reversal of 5825600 is 65285.

It is a self number, because there is not a number n which added to its sum of digits gives 5825600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17435 + ... + 17765.

Almost surely, 2^5825600 is an apocalyptic number.

5825600 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 5825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842504).

5825600 is an abundant number, since it is smaller than the sum of its proper divisors (9859408).

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

5825600 is a wasteful number, since it uses less digits than its factorization.

5825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5825600 is about 2413.6279746473. The cubic root of 5825600 is about 179.9341322784.

The spelling of 5825600 in words is "five million, eight hundred twenty-five thousand, six hundred".