263368560 has 320 divisors, whose sum is σ = 1039933440. Its totient is φ = 53637120.

The previous prime is 263368531. The next prime is 263368577. The reversal of 263368560 is 65863362.

It is a happy number.

It is a super-3 number, since 3×263368560³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676846 + ... + 677234.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^263368560 is an apocalyptic number.

263368560 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 263368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

263368560 is an abundant number, since it is smaller than the sum of its proper divisors (776564880).

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

263368560 is a wasteful number, since it uses less digits than its factorization.

263368560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 263368560 is about 16228.6339536019. The cubic root of 263368560 is about 640.9950017580.

The spelling of 263368560 in words is "two hundred sixty-three million, three hundred sixty-eight thousand, five hundred sixty".