263823840 has 216 divisors, whose sum is σ = 1047566520. Its totient is φ = 60286464.

The previous prime is 263823829. The next prime is 263823851. The reversal of 263823840 is 48328362.

It is an interprime number because it is at equal distance from previous prime (263823829) and next prime (263823851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 263823795 and 263823804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68691 + ... + 72429.

It is an arithmetic number, because the mean of its divisors is an integer number (4849845).

Almost surely, 2^263823840 is an apocalyptic number.

263823840 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 263823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523783260).

263823840 is an abundant number, since it is smaller than the sum of its proper divisors (783742680).

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

263823840 is a wasteful number, since it uses less digits than its factorization.

263823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 263823840 is about 16242.6549553945. The cubic root of 263823840 is about 641.3641475717.

The spelling of 263823840 in words is "two hundred sixty-three million, eight hundred twenty-three thousand, eight hundred forty".