6759984 has 160 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 1670400.

The previous prime is 6759983. The next prime is 6759989. The reversal of 6759984 is 4899576.

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 6⁸ + 7⁴ + 5 + 9² + 9⁷ + 8⁵ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (6759983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114547 + ... + 114605.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 2^6759984 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 6759984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

6759984 is an abundant number, since it is smaller than the sum of its proper divisors (16095696).

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

6759984 is a wasteful number, since it uses less digits than its factorization.

6759984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

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

The square root of 6759984 is about 2599.9969230751. The cubic root of 6759984 is about 189.0812897429.

The spelling of 6759984 in words is "six million, seven hundred fifty-nine thousand, nine hundred eighty-four".