88536320 has 54 divisors (see below), whose sum is σ = 212881578. Its totient is φ = 35279872.

The previous prime is 88536319. The next prime is 88536337. The reversal of 88536320 is 2363588.

It can be written as a sum of positive squares in only one way, i.e., 70829056 + 17707264 = 8416^2 + 4208^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336509 + ... + 336771.

Almost surely, 2^88536320 is an apocalyptic number.

88536320 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 88536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106440789).

88536320 is an abundant number, since it is smaller than the sum of its proper divisors (124345258).

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

88536320 is an frugal number, since it uses more digits than its factorization.

88536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 88536320 is about 9409.3740493191. The cubic root of 88536320 is about 445.6977984572.

The spelling of 88536320 in words is "eighty-eight million, five hundred thirty-six thousand, three hundred twenty".