7950564 has 36 divisors (see below), whose sum is σ = 20196540. Its totient is φ = 2637120.

The previous prime is 7950563. The next prime is 7950587. The reversal of 7950564 is 4650597.

7950564 is a `hidden beast` number, since 7 + 95 + 0 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1232100 + 6718464 = 1110^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7950564² = 126422935836192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7950563) 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 11 ways as a sum of consecutive naturals, for example, 9274 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (561015).

Almost surely, 2^7950564 is an apocalyptic number.

It is an amenable number.

7950564 is an abundant number, since it is smaller than the sum of its proper divisors (12245976).

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

7950564 is a wasteful number, since it uses less digits than its factorization.

7950564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7950564 is about 2819.6744492937. The cubic root of 7950564 is about 199.5871818254.

The spelling of 7950564 in words is "seven million, nine hundred fifty thousand, five hundred sixty-four".