808253640 has 160 divisors (see below), whose sum is σ = 2728729080. Its totient is φ = 214576128.

The previous prime is 808253609. The next prime is 808253681. The reversal of 808253640 is 46352808.

808253640 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 5 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 373030596 + 435223044 = 19314^2 + 20862^2 .

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 = 808253595 and 808253604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1013722 + ... + 1014518.

Almost surely, 2^808253640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364364540).

808253640 is an abundant number, since it is smaller than the sum of its proper divisors (1920475440).

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

808253640 is a wasteful number, since it uses less digits than its factorization.

808253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 808253640 is about 28429.8019690606. The cubic root of 808253640 is about 931.4993504317.

The spelling of 808253640 in words is "eight hundred eight million, two hundred fifty-three thousand, six hundred forty".