5638800 has 120 divisors (see below), whose sum is σ = 18697216. Its totient is φ = 1451520.

The previous prime is 5638799. The next prime is 5638811. The reversal of 5638800 is 88365.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44337 + ... + 44463.

Almost surely, 2^5638800 is an apocalyptic number.

5638800 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 5638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348608).

5638800 is an abundant number, since it is smaller than the sum of its proper divisors (13058416).

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

5638800 is a wasteful number, since it uses less digits than its factorization.

5638800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5638800 is about 2374.6157583912. The cubic root of 5638800 is about 177.9899838660.

The spelling of 5638800 in words is "five million, six hundred thirty-eight thousand, eight hundred".