88760 has 32 divisors (see below), whose sum is σ = 228960. Its totient is φ = 30336.

The previous prime is 88747. The next prime is 88771. The reversal of 88760 is 6788.

88760 = T₅₃ + T₅₄ + ... + T₈₇.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (7155).

2⁸⁸⁷⁶⁰ 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 88760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114480).

88760 is an abundant number, since it is smaller than the sum of its proper divisors (140200).

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

88760 is a wasteful number, since it uses less digits than its factorization.

88760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 88760 is about 297.9261653497. The cubic root of 88760 is about 44.6072822873.

It can be divided in two parts, 88 and 760, that added together give a palindrome (848).

The spelling of 88760 in words is "eighty-eight thousand, seven hundred sixty".