88896 has 28 divisors (see below), whose sum is σ = 235712. Its totient is φ = 29568.

The previous prime is 88883. The next prime is 88897. The reversal of 88896 is 69888.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88897) by changing a digit.

88896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 423.

2⁸⁸⁸⁹⁶ 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 88896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117856).

88896 is an abundant number, since it is smaller than the sum of its proper divisors (146816).

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

88896 is a wasteful number, since it uses less digits than its factorization.

88896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

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

The square root of 88896 is about 298.1543224573. The cubic root of 88896 is about 44.6300534101.

The spelling of 88896 in words is "eighty-eight thousand, eight hundred ninety-six".