263683840 has 72 divisors (see below), whose sum is σ = 721859040. Its totient is φ = 90402816.

The previous prime is 263683829. The next prime is 263683841. The reversal of 263683840 is 48386362.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 263683793 and 263683802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263683841) 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 7 ways as a sum of consecutive naturals, for example, 5755 + ... + 23674.

It is an arithmetic number, because the mean of its divisors is an integer number (10025820).

Almost surely, 2^263683840 is an apocalyptic number.

263683840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263683840 is an abundant number, since it is smaller than the sum of its proper divisors (458175200).

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

263683840 is an equidigital number, since it uses as much as digits as its factorization.

263683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29457 (or 29443 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 263683840 is about 16238.3447432305. The cubic root of 263683840 is about 641.2506793473.

The spelling of 263683840 in words is "two hundred sixty-three million, six hundred eighty-three thousand, eight hundred forty".