6985920 has 112 divisors (see below), whose sum is σ = 23408640. Its totient is φ = 1760256.

The previous prime is 6985907. The next prime is 6985931. The reversal of 6985920 is 295896.

It is a happy 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, 18049 + ... + 18431.

Almost surely, 2^6985920 is an apocalyptic number.

6985920 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 6985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

6985920 is an abundant number, since it is smaller than the sum of its proper divisors (16422720).

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

6985920 is a wasteful number, since it uses less digits than its factorization.

6985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 6985920 is about 2643.0891017898. The cubic root of 6985920 is about 191.1647747062.

The spelling of 6985920 in words is "six million, nine hundred eighty-five thousand, nine hundred twenty".