5666800 has 60 divisors (see below), whose sum is σ = 14084416. Its totient is φ = 2188800.

The previous prime is 5666789. The next prime is 5666819. The reversal of 5666800 is 86665.

5666800 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×5666800² = 64225244480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 7.

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, 12172 + ... + 12628.

Almost surely, 2^5666800 is an apocalyptic number.

5666800 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 5666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042208).

5666800 is an abundant number, since it is smaller than the sum of its proper divisors (8417616).

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

5666800 is a wasteful number, since it uses less digits than its factorization.

5666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 5666800 is about 2380.5041482846. The cubic root of 5666800 is about 178.2841063261.

The spelling of 5666800 in words is "five million, six hundred sixty-six thousand, eight hundred".