88578 has 48 divisors (see below), whose sum is σ = 237120. Its totient is φ = 23328.

The previous prime is 88547. The next prime is 88589. The reversal of 88578 is 87588.

88578 is a `hidden beast` number, since 88 + 578 = 666.

88578 is nontrivially palindromic in base 11.

88578 is an undulating number in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376 + ... + 2412.

It is an arithmetic number, because the mean of its divisors is an integer number (4940).

2⁸⁸⁵⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118560).

88578 is an abundant number, since it is smaller than the sum of its proper divisors (148542).

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

88578 is a wasteful number, since it uses less digits than its factorization.

88578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 68 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 88578 is about 297.6205638057. The cubic root of 88578 is about 44.5767727461.

Subtracting from 88578 its reverse (87588), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 88 and 578, that added together give a palindrome (666).

The spelling of 88578 in words is "eighty-eight thousand, five hundred seventy-eight".