5640800 has 72 divisors (see below), whose sum is σ = 15045912. Its totient is φ = 2048000.

The previous prime is 5640781. The next prime is 5640823. The reversal of 5640800 is 80465.

It is a plaindrome in base 13.

It is a congruent number.

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, 8480 + ... + 9120.

It is an arithmetic number, because the mean of its divisors is an integer number (208971).

Almost surely, 2^5640800 is an apocalyptic number.

5640800 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 5640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522956).

5640800 is an abundant number, since it is smaller than the sum of its proper divisors (9405112).

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

5640800 is a wasteful number, since it uses less digits than its factorization.

5640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5640800 is about 2375.0368418195. The cubic root of 5640800 is about 178.0110248610.

The spelling of 5640800 in words is "five million, six hundred forty thousand, eight hundred".