93696 has 40 divisors (see below), whose sum is σ = 253704. Its totient is φ = 30720.

The previous prime is 93683. The next prime is 93701. The reversal of 93696 is 69639.

93696 = 98² + 99² + ... + 106².

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 93696.

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, 1506 + ... + 1566.

2⁹³⁶⁹⁶ is an apocalyptic number.

93696 is a gapful number since it is divisible by the number (96) 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 93696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126852).

93696 is an abundant number, since it is smaller than the sum of its proper divisors (160008).

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

93696 is an equidigital number, since it uses as much as digits as its factorization.

93696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 93696 is about 306.0980235153. The cubic root of 93696 is about 45.4192909668.

Subtracting from 93696 its product of digits (8748), we obtain a palindrome (84948).

The spelling of 93696 in words is "ninety-three thousand, six hundred ninety-six".