88200 has 108 divisors (see below), whose sum is σ = 344565. Its totient is φ = 20160.

The previous prime is 88177. The next prime is 88211. The reversal of 88200 is 288.

88200 = 16² + 17² + ... + 64².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 1764 = 294^2 + 42^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=210.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88200.

It is an unprimeable number.

88200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12597 + ... + 12603.

2⁸⁸²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88200

88200 is an abundant number, since it is smaller than the sum of its proper divisors (256365).

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

88200 is a wasteful number, since it uses less digits than its factorization.

88200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 88200 is about 296.9848480983. The cubic root of 88200 is about 44.5132729838.

Multiplying 88200 by its sum of digits (18), we get a square (1587600 = 1260²).

88200 divided by its sum of digits (18) gives a square (4900 = 70²).

Multiplying 88200 by its product of nonzero digits (128), we get a square (11289600 = 3360²).

Adding to 88200 its reverse (288), we get a palindrome (88488).

Multiplying 88200 by its reverse (288), we get a square (25401600 = 5040²).

The spelling of 88200 in words is "eighty-eight thousand, two hundred".