263968320 has 224 divisors, whose sum is σ = 1045195776. Its totient is φ = 54835200.

The previous prime is 263968283. The next prime is 263968343. The reversal of 263968320 is 23869362.

It is a tau number, because it is divible by the number of its divisors (224).

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, 72135 + ... + 75705.

Almost surely, 2^263968320 is an apocalyptic number.

263968320 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 263968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522597888).

263968320 is an abundant number, since it is smaller than the sum of its proper divisors (781227456).

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

263968320 is a wasteful number, since it uses less digits than its factorization.

263968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 263968320 is about 16247.1018954151. The cubic root of 263968320 is about 641.4812046980.

It can be divided in two parts, 26396 and 8320, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 263968320 in words is "two hundred sixty-three million, nine hundred sixty-eight thousand, three hundred twenty".