263342560 has 72 divisors (see below), whose sum is σ = 673754760. Its totient is φ = 97224192.

The previous prime is 263342557. The next prime is 263342561. The reversal of 263342560 is 65243362.

It is a happy number.

263342560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263342561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22171 + ... + 31909.

It is an arithmetic number, because the mean of its divisors is an integer number (9357705).

Almost surely, 2^263342560 is an apocalyptic number.

263342560 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 263342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336877380).

263342560 is an abundant number, since it is smaller than the sum of its proper divisors (410412200).

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

263342560 is a wasteful number, since it uses less digits than its factorization.

263342560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 263342560 is about 16227.8328805790. The cubic root of 263342560 is about 640.9739078475.

The spelling of 263342560 in words is "two hundred sixty-three million, three hundred forty-two thousand, five hundred sixty".