263916640 has 96 divisors (see below), whose sum is σ = 693294336. Its totient is φ = 94279680.

The previous prime is 263916637. The next prime is 263916647. The reversal of 263916640 is 46619362.

It is a happy number.

263916640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 263916640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263916647) 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, 62434 + ... + 66526.

It is an arithmetic number, because the mean of its divisors is an integer number (7221816).

Almost surely, 2^263916640 is an apocalyptic number.

263916640 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 263916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346647168).

263916640 is an abundant number, since it is smaller than the sum of its proper divisors (429377696).

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

263916640 is a wasteful number, since it uses less digits than its factorization.

263916640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 263916640 is about 16245.5113800705. The cubic root of 263916640 is about 641.4393386736.

The spelling of 263916640 in words is "two hundred sixty-three million, nine hundred sixteen thousand, six hundred forty".