8287395840 has 168 divisors, whose sum is σ = 28729163268. Its totient is φ = 2209873920.

The previous prime is 8287395793. The next prime is 8287395871. The reversal of 8287395840 is 485937828.

It is a happy number.

8287395840 is a `hidden beast` number, since 8 + 28 + 7 + 39 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7234523136 + 1052872704 = 85056^2 + 32448^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 357400 + ... + 379880.

Almost surely, 2^8287395840 is an apocalyptic number.

8287395840 is a gapful number since it is divisible by the number (80) 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 8287395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364581634).

8287395840 is an abundant number, since it is smaller than the sum of its proper divisors (20441767428).

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

8287395840 is a wasteful number, since it uses less digits than its factorization.

8287395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22518 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 8287395840 is about 91035.1351951542. The cubic root of 8287395840 is about 2023.6684506420.

The spelling of 8287395840 in words is "eight billion, two hundred eighty-seven million, three hundred ninety-five thousand, eight hundred forty".