88325600 has 72 divisors (see below), whose sum is σ = 235250568. Its totient is φ = 32115200.

The previous prime is 88325599. The next prime is 88325641. The reversal of 88325600 is 652388.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3782 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (3267369).

Almost surely, 2^88325600 is an apocalyptic number.

88325600 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 88325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117625284).

88325600 is an abundant number, since it is smaller than the sum of its proper divisors (146924968).

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

88325600 is a wasteful number, since it uses less digits than its factorization.

88325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10068 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 88325600 is about 9398.1700346397. The cubic root of 88325600 is about 445.3439246727.

Adding to 88325600 its reverse (652388), we get a palindrome (88977988).

The spelling of 88325600 in words is "eighty-eight million, three hundred twenty-five thousand, six hundred".