264255936 has 112 divisors (see below), whose sum is σ = 807695616. Its totient is φ = 74686464.

The previous prime is 264255931. The next prime is 264255977. The reversal of 264255936 is 639552462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×264255936² = 139662399422472192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264255931) 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, 129355 + ... + 131381.

It is an arithmetic number, because the mean of its divisors is an integer number (7211568).

Almost surely, 2^264255936 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 264255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403847808).

264255936 is an abundant number, since it is smaller than the sum of its proper divisors (543439680).

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

264255936 is a wasteful number, since it uses less digits than its factorization.

264255936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2136 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 264255936 is about 16255.9507873271. The cubic root of 264255936 is about 641.7141029604.

The spelling of 264255936 in words is "two hundred sixty-four million, two hundred fifty-five thousand, nine hundred thirty-six".