7640064 has 66 divisors (see below), whose sum is σ = 22087130. Its totient is φ = 2543616.

The previous prime is 7640053. The next prime is 7640069. The reversal of 7640064 is 4600467.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 921600 = 2592^2 + 960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8802 + ... + 9630.

Almost surely, 2^7640064 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 7640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043565).

7640064 is an abundant number, since it is smaller than the sum of its proper divisors (14447066).

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

7640064 is a wasteful number, since it uses less digits than its factorization.

7640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7640064 is about 2764.0665693865. The cubic root of 7640064 is about 196.9543900526.

The spelling of 7640064 in words is "seven million, six hundred forty thousand, sixty-four".