264136320 has 192 divisors, whose sum is σ = 1042554240. Its totient is φ = 60364800.

The previous prime is 264136319. The next prime is 264136349. The reversal of 264136320 is 23631462.

264136320 is a `hidden beast` number, since 26 + 4 + 1 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37045 + ... + 43595.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^264136320 is an apocalyptic number.

264136320 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 264136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521277120).

264136320 is an abundant number, since it is smaller than the sum of its proper divisors (778417920).

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

264136320 is a wasteful number, since it uses less digits than its factorization.

264136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 264136320 is about 16252.2712258933. The cubic root of 264136320 is about 641.6172639389.

Adding to 264136320 its reverse (23631462), we get a palindrome (287767782).

The spelling of 264136320 in words is "two hundred sixty-four million, one hundred thirty-six thousand, three hundred twenty".