264135872 has 336 divisors, whose sum is σ = 778337280. Its totient is φ = 87091200.

The previous prime is 264135871. The next prime is 264135889. The reversal of 264135872 is 278531462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (264135871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8520497 + ... + 8520527.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2^264135872 is an apocalyptic number.

264135872 is a gapful number since it is divisible by the number (22) 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 264135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

264135872 is an abundant number, since it is smaller than the sum of its proper divisors (514201408).

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

264135872 is a wasteful number, since it uses less digits than its factorization.

264135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 264135872 is about 16252.2574431985. The cubic root of 264135872 is about 641.6169011910.

The spelling of 264135872 in words is "two hundred sixty-four million, one hundred thirty-five thousand, eight hundred seventy-two".