264820560 has 160 divisors (see below), whose sum is σ = 888371712. Its totient is φ = 65003520.

The previous prime is 264820481. The next prime is 264820571. The reversal of 264820560 is 65028462.

264820560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191070 + ... + 192450.

Almost surely, 2^264820560 is an apocalyptic number.

264820560 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 264820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444185856).

264820560 is an abundant number, since it is smaller than the sum of its proper divisors (623551152).

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

264820560 is a wasteful number, since it uses less digits than its factorization.

264820560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 264820560 is about 16273.3082069996. The cubic root of 264820560 is about 642.1708185708.

The spelling of 264820560 in words is "two hundred sixty-four million, eight hundred twenty thousand, five hundred sixty".