8040064 has 32 divisors (see below), whose sum is σ = 16719840. Its totient is φ = 3843840.

The previous prime is 8040049. The next prime is 8040073. The reversal of 8040064 is 4600408.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1579 + ... + 4309.

It is an arithmetic number, because the mean of its divisors is an integer number (522495).

Almost surely, 2^8040064 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 8040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359920).

8040064 is an abundant number, since it is smaller than the sum of its proper divisors (8679776).

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

8040064 is a wasteful number, since it uses less digits than its factorization.

8040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 8040064 is about 2835.5006612590. The cubic root of 8040064 is about 200.3333108774. Note that the first 4 decimals are identical.

The spelling of 8040064 in words is "eight million, forty thousand, sixty-four".