264192320 has 224 divisors, whose sum is σ = 768096000. Its totient is φ = 86403072.

The previous prime is 264192319. The next prime is 264192373. The reversal of 264192320 is 23291462.

264192320 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3182999 + ... + 3183081.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2^264192320 is an apocalyptic number.

264192320 is a gapful number since it is divisible by the number (20) 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 264192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048000).

264192320 is an abundant number, since it is smaller than the sum of its proper divisors (503903680).

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

264192320 is an equidigital number, since it uses as much as digits as its factorization.

264192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 264192320 is about 16253.9939707138. The cubic root of 264192320 is about 641.6626041983.

The spelling of 264192320 in words is "two hundred sixty-four million, one hundred ninety-two thousand, three hundred twenty".