264956160 has 144 divisors (see below), whose sum is σ = 967188096. Its totient is φ = 60555264.

The previous prime is 264956147. The next prime is 264956161. The reversal of 264956160 is 61659462.

It is not an unprimeable number, because it can be changed into a prime (264956161) 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, 21952 + ... + 31808.

It is an arithmetic number, because the mean of its divisors is an integer number (6716584).

Almost surely, 2^264956160 is an apocalyptic number.

264956160 is a gapful number since it is divisible by the number (20) 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 264956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483594048).

264956160 is an abundant number, since it is smaller than the sum of its proper divisors (702231936).

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

264956160 is an equidigital number, since it uses as much as digits as its factorization.

264956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 264956160 is about 16277.4740055083. The cubic root of 264956160 is about 642.2804066186.

The spelling of 264956160 in words is "two hundred sixty-four million, nine hundred fifty-six thousand, one hundred sixty".