7952064 has 56 divisors (see below), whose sum is σ = 21336000. Its totient is φ = 2613504.

The previous prime is 7952059. The next prime is 7952069. The reversal of 7952064 is 4602597.

It is an interprime number because it is at equal distance from previous prime (7952059) and next prime (7952069).

It is not an unprimeable number, because it can be changed into a prime (7952069) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15687 + ... + 16185.

It is an arithmetic number, because the mean of its divisors is an integer number (381000).

Almost surely, 2^7952064 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 7952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668000).

7952064 is an abundant number, since it is smaller than the sum of its proper divisors (13383936).

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

7952064 is a wasteful number, since it uses less digits than its factorization.

7952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 7952064 is about 2819.9404249026. The cubic root of 7952064 is about 199.5997327986.

The spelling of 7952064 in words is "seven million, nine hundred fifty-two thousand, sixty-four".