88608 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 26880.

The previous prime is 88607. The next prime is 88609. The reversal of 88608 is 80688.

It is an interprime number because it is at equal distance from previous prime (88607) and next prime (88609).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (88607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1213 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁸⁸⁶⁰⁸ 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 88608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

88608 is an abundant number, since it is smaller than the sum of its proper divisors (165408).

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

88608 is a wasteful number, since it uses less digits than its factorization.

88608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 88608 is about 297.6709592822. The cubic root of 88608 is about 44.5818046661.

It can be divided in two parts, 88 and 608, that added together give a palindrome (696).

The spelling of 88608 in words is "eighty-eight thousand, six hundred eight".