264135936 has 72 divisors (see below), whose sum is σ = 744375744. Its totient is φ = 82862080.

The previous prime is 264135931. The next prime is 264135959. The reversal of 264135936 is 639531462.

264135936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264135894 and 264135903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264135931) 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, 2941 + ... + 23171.

It is an arithmetic number, because the mean of its divisors is an integer number (10338552).

Almost surely, 2^264135936 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 264135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372187872).

264135936 is an abundant number, since it is smaller than the sum of its proper divisors (480239808).

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

264135936 is a wasteful number, since it uses less digits than its factorization.

264135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20267 (or 20253 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 264135936 is about 16252.2594121556. The cubic root of 264135936 is about 641.6169530121.

The spelling of 264135936 in words is "two hundred sixty-four million, one hundred thirty-five thousand, nine hundred thirty-six".