5793600 has 168 divisors, whose sum is σ = 20409408. Its totient is φ = 1433600.

The previous prime is 5793581. The next prime is 5793607. The reversal of 5793600 is 63975.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5793607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81565 + ... + 81635.

Almost surely, 2^5793600 is an apocalyptic number.

5793600 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 5793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704).

5793600 is an abundant number, since it is smaller than the sum of its proper divisors (14615808).

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

5793600 is a wasteful number, since it uses less digits than its factorization.

5793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 5793600 is about 2406.9898213329. The cubic root of 5793600 is about 179.6040680094.

The spelling of 5793600 in words is "five million, seven hundred ninety-three thousand, six hundred".