88830 has 64 divisors (see below), whose sum is σ = 276480. Its totient is φ = 19872.

The previous prime is 88819. The next prime is 88843. The reversal of 88830 is 3888.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88794 and 88803.

It is a congruent number.

It is an unprimeable number.

88830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1867 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁸⁸⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

88830 is an abundant number, since it is smaller than the sum of its proper divisors (187650).

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

88830 is a wasteful number, since it uses less digits than its factorization.

88830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

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

The square root of 88830 is about 298.0436209685. The cubic root of 88830 is about 44.6190056209.

The spelling of 88830 in words is "eighty-eight thousand, eight hundred thirty".