263813680 has 160 divisors (see below), whose sum is σ = 708704640. Its totient is φ = 90562560.

The previous prime is 263813677. The next prime is 263813731. The reversal of 263813680 is 86318362.

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, 980586 + ... + 980854.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2^263813680 is an apocalyptic number.

263813680 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 263813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

263813680 is an abundant number, since it is smaller than the sum of its proper divisors (444890960).

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

263813680 is a wasteful number, since it uses less digits than its factorization.

263813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 263813680 is about 16242.3421956318. The cubic root of 263813680 is about 641.3559143716.

The spelling of 263813680 in words is "two hundred sixty-three million, eight hundred thirteen thousand, six hundred eighty".