88380 has 36 divisors (see below), whose sum is σ = 268632. Its totient is φ = 23520.

The previous prime is 88379. The next prime is 88397. The reversal of 88380 is 8388.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×88380² = 15622048800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (7462).

2⁸⁸³⁸⁰ 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 88380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134316).

88380 is an abundant number, since it is smaller than the sum of its proper divisors (180252).

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

88380 is a wasteful number, since it uses less digits than its factorization.

88380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88380 is about 297.2877394041. The cubic root of 88380 is about 44.5435335458.

The spelling of 88380 in words is "eighty-eight thousand, three hundred eighty".