5532800 has 192 divisors, whose sum is σ = 17707200. Its totient is φ = 1658880.

The previous prime is 5532763. The next prime is 5532833. The reversal of 5532800 is 82355.

It is a super-2 number, since 2×5532800² = 61223751680000, which contains 22 as substring.

It is a congruent number.

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, 291191 + ... + 291209.

It is an arithmetic number, because the mean of its divisors is an integer number (92225).

Almost surely, 2^5532800 is an apocalyptic number.

5532800 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 5532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853600).

5532800 is an abundant number, since it is smaller than the sum of its proper divisors (12174400).

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

5532800 is a wasteful number, since it uses less digits than its factorization.

5532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5532800 is about 2352.1904684783. The cubic root of 5532800 is about 176.8676167595.

The spelling of 5532800 in words is "five million, five hundred thirty-two thousand, eight hundred".