263528640 has 168 divisors, whose sum is σ = 940277520. Its totient is φ = 70253568.

The previous prime is 263528623. The next prime is 263528663. The reversal of 263528640 is 46825362.

263528640 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 2 + 8 + 640 = 666.

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 = 263528595 and 263528604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76066 + ... + 79454.

It is an arithmetic number, because the mean of its divisors is an integer number (5596890).

Almost surely, 2^263528640 is an apocalyptic number.

263528640 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 263528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470138760).

263528640 is an abundant number, since it is smaller than the sum of its proper divisors (676748880).

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

263528640 is an equidigital number, since it uses as much as digits as its factorization.

263528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 263528640 is about 16233.5652276387. The cubic root of 263528640 is about 641.1248447651.

The spelling of 263528640 in words is "two hundred sixty-three million, five hundred twenty-eight thousand, six hundred forty".