88960 has 32 divisors (see below), whose sum is σ = 214200. Its totient is φ = 35328.

The previous prime is 88951. The next prime is 88969. The reversal of 88960 is 6988.

It is an interprime number because it is at equal distance from previous prime (88951) and next prime (88969).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88969) by changing a digit.

88960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 571 + ... + 709.

2⁸⁸⁹⁶⁰ is an apocalyptic number.

88960 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 88960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107100).

88960 is an abundant number, since it is smaller than the sum of its proper divisors (125240).

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

88960 is a wasteful number, since it uses less digits than its factorization.

88960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 88960 is about 298.2616301169. The cubic root of 88960 is about 44.6407611968.

Adding to 88960 its product of nonzero digits (3456), we get a square (92416 = 304²).

It can be divided in two parts, 889 and 60, that added together give a palindrome (949).

The spelling of 88960 in words is "eighty-eight thousand, nine hundred sixty".