264651072 has 112 divisors (see below), whose sum is σ = 812474880. Its totient is φ = 74460672.

The previous prime is 264651067. The next prime is 264651091. The reversal of 264651072 is 270156462.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88579 + ... + 91517.

It is an arithmetic number, because the mean of its divisors is an integer number (7254240).

Almost surely, 2^264651072 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 264651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406237440).

264651072 is an abundant number, since it is smaller than the sum of its proper divisors (547823808).

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

264651072 is a wasteful number, since it uses less digits than its factorization.

264651072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 264651072 is about 16268.0998275767. The cubic root of 264651072 is about 642.0337905954.

The spelling of 264651072 in words is "two hundred sixty-four million, six hundred fifty-one thousand, seventy-two".