263928720 has 160 divisors (see below), whose sum is σ = 898335360. Its totient is φ = 63569920.

The previous prime is 263928673. The next prime is 263928727. The reversal of 263928720 is 27829362.

263928720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (263928727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 678286 + ... + 678674.

It is an arithmetic number, because the mean of its divisors is an integer number (5614596).

Almost surely, 2^263928720 is an apocalyptic number.

263928720 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 263928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449167680).

263928720 is an abundant number, since it is smaller than the sum of its proper divisors (634406640).

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

263928720 is a wasteful number, since it uses less digits than its factorization.

263928720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 263928720 is about 16245.8831708221. The cubic root of 263928720 is about 641.4491251842.

The spelling of 263928720 in words is "two hundred sixty-three million, nine hundred twenty-eight thousand, seven hundred twenty".