88312200 has 96 divisors (see below), whose sum is σ = 276619200. Its totient is φ = 23304960.

The previous prime is 88312181. The next prime is 88312207. The reversal of 88312200 is 221388.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (88312207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61086 + ... + 62514.

It is an arithmetic number, because the mean of its divisors is an integer number (2881450).

Almost surely, 2^88312200 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 88312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138309600).

88312200 is an abundant number, since it is smaller than the sum of its proper divisors (188307000).

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

88312200 is a wasteful number, since it uses less digits than its factorization.

88312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 88312200 is about 9397.4571028550. The cubic root of 88312200 is about 445.3214022843.

Adding to 88312200 its reverse (221388), we get a palindrome (88533588).

The spelling of 88312200 in words is "eighty-eight million, three hundred twelve thousand, two hundred".