88168800 has 144 divisors (see below), whose sum is σ = 304011792. Its totient is φ = 22118400.

The previous prime is 88168789. The next prime is 88168837. The reversal of 88168800 is 886188.

It is a happy number.

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, 39720 + ... + 41880.

It is an arithmetic number, because the mean of its divisors is an integer number (2111193).

Almost surely, 2^88168800 is an apocalyptic number.

88168800 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 88168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152005896).

88168800 is an abundant number, since it is smaller than the sum of its proper divisors (215842992).

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

88168800 is a wasteful number, since it uses less digits than its factorization.

88168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 88168800 is about 9389.8242795060. The cubic root of 88168800 is about 445.0802363421.

The spelling of 88168800 in words is "eighty-eight million, one hundred sixty-eight thousand, eight hundred".