6975984 has 80 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 2141184.

The previous prime is 6975971. The next prime is 6976033. The reversal of 6975984 is 4895796.

6975984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 6⁴ + 9 + 7² + 5⁷ + 9⁷ + 8⁷ + 4⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67677 + ... + 67779.

Almost surely, 2^6975984 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 6975984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

6975984 is an abundant number, since it is smaller than the sum of its proper divisors (12522768).

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

6975984 is a wasteful number, since it uses less digits than its factorization.

6975984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 6975984 is about 2641.2088141607. The cubic root of 6975984 is about 191.0741011601.

The spelling of 6975984 in words is "six million, nine hundred seventy-five thousand, nine hundred eighty-four".