88352 has 24 divisors (see below), whose sum is σ = 190512. Its totient is φ = 40000.

The previous prime is 88339. The next prime is 88379. The reversal of 88352 is 25388.

It is a d-powerful number, because it can be written as 8 + 8⁵ + 3⁹ + 5⁵ + 2¹⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2⁸⁸³⁵² 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 88352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

88352 is an abundant number, since it is smaller than the sum of its proper divisors (102160).

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

88352 is a wasteful number, since it uses less digits than its factorization.

88352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 88352 is about 297.2406432505. The cubic root of 88352 is about 44.5388290475.

It can be divided in two parts, 88 and 352, that multiplied together give a square (30976 = 176²).

The spelling of 88352 in words is "eighty-eight thousand, three hundred fifty-two".