6978564 has 36 divisors (see below), whose sum is σ = 17772300. Its totient is φ = 2308800.

The previous prime is 6978547. The next prime is 6978593. The reversal of 6978564 is 4658796.

It can be written as a sum of positive squares in 2 ways, for example, as 260100 + 6718464 = 510^2 + 2592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4714 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (493675).

Almost surely, 2^6978564 is an apocalyptic number.

It is an amenable number.

6978564 is an abundant number, since it is smaller than the sum of its proper divisors (10793736).

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

6978564 is a wasteful number, since it uses less digits than its factorization.

6978564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1455 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6978564 is about 2641.6971817375. The cubic root of 6978564 is about 191.0976538909.

It can be divided in two parts, 697 and 8564, that added together give a cube (9261 = 21³).

The spelling of 6978564 in words is "six million, nine hundred seventy-eight thousand, five hundred sixty-four".