88831600 has 120 divisors (see below), whose sum is σ = 250890192. Its totient is φ = 29798400.

The previous prime is 88831597. The next prime is 88831607. The reversal of 88831600 is 613888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88831607) 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, 56424 + ... + 57976.

Almost surely, 2^88831600 is an apocalyptic number.

88831600 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 88831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125445096).

88831600 is an abundant number, since it is smaller than the sum of its proper divisors (162058592).

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

88831600 is a wasteful number, since it uses less digits than its factorization.

88831600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 88831600 is about 9425.0517239960. The cubic root of 88831600 is about 446.1927351083.

The spelling of 88831600 in words is "eighty-eight million, eight hundred thirty-one thousand, six hundred".