8883200 has 66 divisors (see below), whose sum is σ = 22083036. Its totient is φ = 3543040.

The previous prime is 8883181. The next prime is 8883209. The reversal of 8883200 is 23888.

It is a super-2 number, since 2×8883200² = 157822484480000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8883209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25427 + ... + 25773.

Almost surely, 2^8883200 is an apocalyptic number.

8883200 is a gapful number since it is divisible by the number (80) 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 8883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041518).

8883200 is an abundant number, since it is smaller than the sum of its proper divisors (13199836).

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

8883200 is a wasteful number, since it uses less digits than its factorization.

8883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8883200 is about 2980.4697616315. The cubic root of 8883200 is about 207.1046325481.

The spelling of 8883200 in words is "eight million, eight hundred eighty-three thousand, two hundred".