264004096 has 80 divisors (see below), whose sum is σ = 548000640. Its totient is φ = 126996480.

The previous prime is 264004093. The next prime is 264004099. The reversal of 264004096 is 690400462.

It is an interprime number because it is at equal distance from previous prime (264004093) and next prime (264004099).

It is not an unprimeable number, because it can be changed into a prime (264004093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2467275 + ... + 2467381.

It is an arithmetic number, because the mean of its divisors is an integer number (6850008).

Almost surely, 2^264004096 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 264004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

264004096 is an abundant number, since it is smaller than the sum of its proper divisors (283996544).

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

264004096 is an equidigital number, since it uses as much as digits as its factorization.

264004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 264004096 is about 16248.2028544698. The cubic root of 264004096 is about 641.5101836741.

The spelling of 264004096 in words is "two hundred sixty-four million, four thousand, ninety-six".