88891200 has 126 divisors (see below), whose sum is σ = 315991494. Its totient is φ = 23700480.

The previous prime is 88891199. The next prime is 88891223. The reversal of 88891200 is 219888.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 88059456 = 912^2 + 9384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11314 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (2507869).

Almost surely, 2^88891200 is an apocalyptic number.

88891200 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 88891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157995747).

88891200 is an abundant number, since it is smaller than the sum of its proper divisors (227100294).

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

88891200 is a wasteful number, since it uses less digits than its factorization.

88891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 88891200 is about 9428.2129801994. The cubic root of 88891200 is about 446.2925011894.

The spelling of 88891200 in words is "eighty-eight million, eight hundred ninety-one thousand, two hundred".