264168252 has 72 divisors (see below), whose sum is σ = 683046000. Its totient is φ = 86059008.

The previous prime is 264168251. The next prime is 264168269. The reversal of 264168252 is 252861462.

It is a happy number.

264168252 is a `hidden beast` number, since 2 + 641 + 6 + 8 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264168251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588124 + ... + 588572.

It is an arithmetic number, because the mean of its divisors is an integer number (9486750).

Almost surely, 2^264168252 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 264168252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341523000).

264168252 is an abundant number, since it is smaller than the sum of its proper divisors (418877748).

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

264168252 is a wasteful number, since it uses less digits than its factorization.

264168252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 790 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 264168252 is about 16253.2535819755. The cubic root of 264168252 is about 641.6431183877.

The spelling of 264168252 in words is "two hundred sixty-four million, one hundred sixty-eight thousand, two hundred fifty-two".