264285072 has 80 divisors (see below), whose sum is σ = 771528000. Its totient is φ = 86593536.

The previous prime is 264285071. The next prime is 264285097. The reversal of 264285072 is 270582462.

264285072 is a `hidden beast` number, since 2 + 642 + 8 + 5 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (264285071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20304 + ... + 30672.

It is an arithmetic number, because the mean of its divisors is an integer number (9644100).

Almost surely, 2^264285072 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 264285072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385764000).

264285072 is an abundant number, since it is smaller than the sum of its proper divisors (507242928).

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

264285072 is a wasteful number, since it uses less digits than its factorization.

264285072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 264285072 is about 16256.8469267567. The cubic root of 264285072 is about 641.7376865302.

The spelling of 264285072 in words is "two hundred sixty-four million, two hundred eighty-five thousand, seventy-two".