96888 has 32 divisors (see below), whose sum is σ = 264960. Its totient is φ = 29280.

The previous prime is 96857. The next prime is 96893. The reversal of 96888 is 88869.

It is a super-4 number, since 4×96888⁴ (a number of 21 digits) contains 4444 as substring.

96888 is a modest number, since divided by 888 gives 96 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96888.

It is an unprimeable number.

96888 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, 81 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁹⁶⁸⁸⁸ 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 96888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132480).

96888 is an abundant number, since it is smaller than the sum of its proper divisors (168072).

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

96888 is a wasteful number, since it uses less digits than its factorization.

96888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

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

The square root of 96888 is about 311.2683729517. The cubic root of 96888 is about 45.9293180393.

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

The spelling of 96888 in words is "ninety-six thousand, eight hundred eighty-eight".