88884800 has 84 divisors (see below), whose sum is σ = 221999556. Its totient is φ = 35020800.

The previous prime is 88884787. The next prime is 88884833. The reversal of 88884800 is 848888.

It can be written as a sum of positive squares in 6 ways, for example, as 18593344 + 70291456 = 4312^2 + 8384^2 .

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, 116420 + ... + 117180.

Almost surely, 2^88884800 is an apocalyptic number.

88884800 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 88884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110999778).

88884800 is an abundant number, since it is smaller than the sum of its proper divisors (133114756).

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

88884800 is a wasteful number, since it uses less digits than its factorization.

88884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The square root of 88884800 is about 9427.8735672473. The cubic root of 88884800 is about 446.2817901908.

The spelling of 88884800 in words is "eighty-eight million, eight hundred eighty-four thousand, eight hundred".