6971904 has 120 divisors (see below), whose sum is σ = 21544380. Its totient is φ = 2162688.

The previous prime is 6971903. The next prime is 6971911. The reversal of 6971904 is 4091796.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 2304 = 2640^2 + 48^2 .

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 (6971903) 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 11 ways as a sum of consecutive naturals, for example, 78292 + ... + 78380.

Almost surely, 2^6971904 is an apocalyptic number.

6971904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772190).

6971904 is an abundant number, since it is smaller than the sum of its proper divisors (14572476).

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

6971904 is a wasteful number, since it uses less digits than its factorization.

6971904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 6971904 is about 2640.4363275792. The cubic root of 6971904 is about 191.0368431252.

It can be divided in two parts, 6971 and 904, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 6971904 in words is "six million, nine hundred seventy-one thousand, nine hundred four".