8007936 has 36 divisors (see below), whose sum is σ = 21314832. Its totient is φ = 2669056.

The previous prime is 8007931. The next prime is 8007943. The reversal of 8007936 is 6397008.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8007897 and 8007906.

It is not an unprimeable number, because it can be changed into a prime (8007931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4446 + ... + 5981.

Almost surely, 2^8007936 is an apocalyptic number.

It is an amenable number.

8007936 is an abundant number, since it is smaller than the sum of its proper divisors (13306896).

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

8007936 is a wasteful number, since it uses less digits than its factorization.

8007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10446 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 8007936 is about 2829.8296768534. The cubic root of 8007936 is about 200.0661114773.

The spelling of 8007936 in words is "eight million, seven thousand, nine hundred thirty-six".