263088320 has 112 divisors (see below), whose sum is σ = 705770496. Its totient is φ = 92544000.

The previous prime is 263088317. The next prime is 263088323. The reversal of 263088320 is 23880362.

It is a happy number.

263088320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263088317) and next prime (263088323).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (263088323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107915 + ... + 110325.

Almost surely, 2^263088320 is an apocalyptic number.

263088320 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 263088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352885248).

263088320 is an abundant number, since it is smaller than the sum of its proper divisors (442682176).

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

263088320 is a wasteful number, since it uses less digits than its factorization.

263088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 263088320 is about 16219.9975339086. The cubic root of 263088320 is about 640.7675686503.

The spelling of 263088320 in words is "two hundred sixty-three million, eighty-eight thousand, three hundred twenty".