7864064 has 72 divisors (see below), whose sum is σ = 18028080. Its totient is φ = 3391488.

The previous prime is 7864063. The next prime is 7864067. The reversal of 7864064 is 4604687.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7864063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56507 + ... + 56645.

It is an arithmetic number, because the mean of its divisors is an integer number (250390).

Almost surely, 2^7864064 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 7864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014040).

7864064 is an abundant number, since it is smaller than the sum of its proper divisors (10164016).

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

7864064 is a wasteful number, since it uses less digits than its factorization.

7864064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 7864064 is about 2804.2938505085. The cubic root of 7864064 is about 198.8607225573.

The spelling of 7864064 in words is "seven million, eight hundred sixty-four thousand, sixty-four".