88968 has 32 divisors (see below), whose sum is σ = 243360. Its totient is φ = 26880.

The previous prime is 88951. The next prime is 88969. The reversal of 88968 is 86988.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (88969) by changing a digit.

88968 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 7 ways as a sum of consecutive naturals, for example, 96 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2⁸⁸⁹⁶⁸ is an apocalyptic number.

88968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121680).

88968 is an abundant number, since it is smaller than the sum of its proper divisors (154392).

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

88968 is a wasteful number, since it uses less digits than its factorization.

88968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 88968 is about 298.2750408599. The cubic root of 88968 is about 44.6420993090.

It can be divided in two parts, 88 and 968, that multiplied together give a cube (85184 = 44³).

The spelling of 88968 in words is "eighty-eight thousand, nine hundred sixty-eight".