8009964 has 18 divisors (see below), whose sum is σ = 20247500. Its totient is φ = 2669976.

The previous prime is 8009959. The next prime is 8009977. The reversal of 8009964 is 4699008.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 222499 = 8009964 / (8 + 0 + 0 + 9 + 9 + 6 + 4).

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 5 ways as a sum of consecutive naturals, for example, 111214 + ... + 111285.

Almost surely, 2^8009964 is an apocalyptic number.

It is an amenable number.

8009964 is an abundant number, since it is smaller than the sum of its proper divisors (12237536).

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

8009964 is a wasteful number, since it uses less digits than its factorization.

8009964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222509 (or 222504 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8009964 is about 2830.1879796226. The cubic root of 8009964 is about 200.0829988845.

The spelling of 8009964 in words is "eight million, nine thousand, nine hundred sixty-four".