96864 has 24 divisors (see below), whose sum is σ = 254520. Its totient is φ = 32256.

The previous prime is 96857. The next prime is 96893. The reversal of 96864 is 46869.

96864 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (24).

96864 is a modest number, since divided by 864 gives 96 as remainder.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (10605).

2⁹⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

96864 is an abundant number, since it is smaller than the sum of its proper divisors (157656).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127260).

96864 is a wasteful number, since it uses less digits than its factorization.

96864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 96864 is about 311.2298186228. The cubic root of 96864 is about 45.9255253623.

It can be divided in two parts, 96 and 864, that multiplied together give a square (82944 = 288²).

The spelling of 96864 in words is "ninety-six thousand, eight hundred sixty-four".