96264 has 48 divisors (see below), whose sum is σ = 299520. Its totient is φ = 27360.

The previous prime is 96263. The next prime is 96269. The reversal of 96264 is 46269.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96264.

It is not an unprimeable number, because it can be changed into a prime (96263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁹⁶²⁶⁴ 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 96264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

96264 is an abundant number, since it is smaller than the sum of its proper divisors (203256).

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

96264 is a wasteful number, since it uses less digits than its factorization.

96264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 96264 is about 310.2644033723. The cubic root of 96264 is about 45.8305041412.

The spelling of 96264 in words is "ninety-six thousand, two hundred sixty-four".