6861720 has 64 divisors (see below), whose sum is σ = 20759040. Its totient is φ = 1814400.

The previous prime is 6861709. The next prime is 6861733. The reversal of 6861720 is 271686.

It is a happy number.

6861720 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25185 + ... + 25455.

It is an arithmetic number, because the mean of its divisors is an integer number (324360).

Almost surely, 2^6861720 is an apocalyptic number.

6861720 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 6861720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379520).

6861720 is an abundant number, since it is smaller than the sum of its proper divisors (13897320).

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

6861720 is a wasteful number, since it uses less digits than its factorization.

6861720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6861720 is about 2619.4884996884. The cubic root of 6861720 is about 190.0251121009.

The spelling of 6861720 in words is "six million, eight hundred sixty-one thousand, seven hundred twenty".