6804972 has 36 divisors (see below), whose sum is σ = 17841096. Its totient is φ = 2268000.

The previous prime is 6804953. The next prime is 6804997. The reversal of 6804972 is 2794086.

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

It is a Harshad number since it is a multiple of its sum of digits (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, 2529 + ... + 4472.

It is an arithmetic number, because the mean of its divisors is an integer number (495586).

Almost surely, 2^6804972 is an apocalyptic number.

It is an amenable number.

6804972 is an abundant number, since it is smaller than the sum of its proper divisors (11036124).

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

6804972 is a wasteful number, since it uses less digits than its factorization.

6804972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6804972 is about 2608.6341253614. The cubic root of 6804972 is about 189.4998108709.

It can be divided in two parts, 68049 and 72, that added together give a square (68121 = 261²).

The spelling of 6804972 in words is "six million, eight hundred four thousand, nine hundred seventy-two".