264696096 has 96 divisors (see below), whose sum is σ = 806077440. Its totient is φ = 74486016.

The previous prime is 264696083. The next prime is 264696097. The reversal of 264696096 is 690696462.

It is a happy number.

264696096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (264696097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42085 + ... + 47963.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2^264696096 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 264696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403038720).

264696096 is an abundant number, since it is smaller than the sum of its proper divisors (541381344).

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

264696096 is a wasteful number, since it uses less digits than its factorization.

264696096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 264696096 is about 16269.4835812327. The cubic root of 264696096 is about 642.0701973882.

The spelling of 264696096 in words is "two hundred sixty-four million, six hundred ninety-six thousand, ninety-six".