88008800 has 144 divisors (see below), whose sum is σ = 239328432. Its totient is φ = 31334400.

The previous prime is 88008799. The next prime is 88008821. The reversal of 88008800 is 880088.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642332 + ... + 642468.

It is an arithmetic number, because the mean of its divisors is an integer number (1662003).

Almost surely, 2^88008800 is an apocalyptic number.

88008800 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 88008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119664216).

88008800 is an abundant number, since it is smaller than the sum of its proper divisors (151319632).

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

88008800 is a wasteful number, since it uses less digits than its factorization.

88008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 88008800 is about 9381.3005494974. The cubic root of 88008800 is about 444.8108441536.

Adding to 88008800 its reverse (880088), we get a palindrome (88888888).

Multiplying 88008800 by its reverse (880088), we get a square (77455488774400 = 8800880²).

88008800 divided by its reverse (880088) gives a square (100 = 10²).

The spelling of 88008800 in words is "eighty-eight million, eight thousand, eight hundred".