96213264 has 120 divisors (see below), whose sum is σ = 304489440. Its totient is φ = 26030592.

The previous prime is 96213253. The next prime is 96213331. The reversal of 96213264 is 46231269.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43612 + ... + 45764.

It is an arithmetic number, because the mean of its divisors is an integer number (2537412).

Almost surely, 2^96213264 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 96213264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152244720).

96213264 is an abundant number, since it is smaller than the sum of its proper divisors (208276176).

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

96213264 is a wasteful number, since it uses less digits than its factorization.

96213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2184 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 96213264 is about 9808.8360165720. The cubic root of 96213264 is about 458.2245106122.

The spelling of 96213264 in words is "ninety-six million, two hundred thirteen thousand, two hundred sixty-four".