263384640 has 84 divisors (see below), whose sum is σ = 905943324. Its totient is φ = 70235136.

The previous prime is 263384633. The next prime is 263384677. The reversal of 263384640 is 46483362.

It is a happy number.

263384640 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 8 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 174874176 = 9408^2 + 13224^2 .

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 = 263384595 and 263384604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42847 + ... + 48606.

Almost surely, 2^263384640 is an apocalyptic number.

263384640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263384640 is an abundant number, since it is smaller than the sum of its proper divisors (642558684).

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

263384640 is a wasteful number, since it uses less digits than its factorization.

263384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91476 (or 91463 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 263384640 is about 16229.1293666666. The cubic root of 263384640 is about 641.0080468355.

The spelling of 263384640 in words is "two hundred sixty-three million, three hundred eighty-four thousand, six hundred forty".