263835040 has 96 divisors (see below), whose sum is σ = 737009280. Its totient is φ = 87327744.

The previous prime is 263835037. The next prime is 263835043. The reversal of 263835040 is 40538362.

It is an interprime number because it is at equal distance from previous prime (263835037) and next prime (263835043).

It is a junction number, because it is equal to n+sod(n) for n = 263834993 and 263835011.

It is not an unprimeable number, because it can be changed into a prime (263835043) 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, 28419 + ... + 36541.

It is an arithmetic number, because the mean of its divisors is an integer number (7677180).

Almost surely, 2^263835040 is an apocalyptic number.

263835040 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 263835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368504640).

263835040 is an abundant number, since it is smaller than the sum of its proper divisors (473174240).

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

263835040 is a wasteful number, since it uses less digits than its factorization.

263835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 263835040 is about 16242.9997229576. Note that the first 3 decimals coincide. The cubic root of 263835040 is about 641.3732232954.

The spelling of 263835040 in words is "two hundred sixty-three million, eight hundred thirty-five thousand, forty".