6984960 has 144 divisors (see below), whose sum is σ = 23841216. Its totient is φ = 1736704.

The previous prime is 6984959. The next prime is 6984961. The reversal of 6984960 is 694896.

It is an interprime number because it is at equal distance from previous prime (6984959) and next prime (6984961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6984961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65227 + ... + 65333.

It is an arithmetic number, because the mean of its divisors is an integer number (165564).

Almost surely, 2^6984960 is an apocalyptic number.

6984960 is a gapful number since it is divisible by the number (60) 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 6984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920608).

6984960 is an abundant number, since it is smaller than the sum of its proper divisors (16856256).

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

6984960 is a wasteful number, since it uses less digits than its factorization.

6984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6984960 is about 2642.9074898679. The cubic root of 6984960 is about 191.1560177307.

Subtracting from 6984960 its reverse (694896), we obtain a square (6290064 = 2508²).

The spelling of 6984960 in words is "six million, nine hundred eighty-four thousand, nine hundred sixty".