5648800 has 72 divisors (see below), whose sum is σ = 14436576. Its totient is φ = 2154240.

The previous prime is 5648791. The next prime is 5648801. The reversal of 5648800 is 88465.

It is not an unprimeable number, because it can be changed into a prime (5648801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18247 + ... + 18553.

It is an arithmetic number, because the mean of its divisors is an integer number (200508).

Almost surely, 2^5648800 is an apocalyptic number.

5648800 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 5648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288).

5648800 is an abundant number, since it is smaller than the sum of its proper divisors (8787776).

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

5648800 is a wasteful number, since it uses less digits than its factorization.

5648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5648800 is about 2376.7204294994. The cubic root of 5648800 is about 178.0951391413.

The spelling of 5648800 in words is "five million, six hundred forty-eight thousand, eight hundred".