88600320 has 108 divisors (see below), whose sum is σ = 306587736. Its totient is φ = 23623680.

The previous prime is 88600289. The next prime is 88600321. The reversal of 88600320 is 2300688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88600321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7675 + ... + 15365.

Almost surely, 2^88600320 is an apocalyptic number.

88600320 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 88600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153293868).

88600320 is an abundant number, since it is smaller than the sum of its proper divisors (217987416).

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

88600320 is a wasteful number, since it uses less digits than its factorization.

88600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 88600320 is about 9412.7742987920. The cubic root of 88600320 is about 445.8051660274.

Subtracting from 88600320 its product of nonzero digits (2304), we obtain a triangular number (88598016 = T₁₃₃₁₁).

The spelling of 88600320 in words is "eighty-eight million, six hundred thousand, three hundred twenty".