6864984 has 96 divisors (see below), whose sum is σ = 21733920. Its totient is φ = 1916928.

The previous prime is 6864983. The next prime is 6864997. The reversal of 6864984 is 4894686.

6864984 = T₄₇₇ + T₄₇₈ + ... + T₅₃₀.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26584 + ... + 26840.

It is an arithmetic number, because the mean of its divisors is an integer number (226395).

Almost surely, 2^6864984 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 6864984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866960).

6864984 is an abundant number, since it is smaller than the sum of its proper divisors (14868936).

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

6864984 is a wasteful number, since it uses less digits than its factorization.

6864984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6864984 is about 2620.1114480113. Note that the first 3 decimals coincide. The cubic root of 6864984 is about 190.0552378637.

The spelling of 6864984 in words is "six million, eight hundred sixty-four thousand, nine hundred eighty-four".