6367920 has 120 divisors (see below), whose sum is σ = 21512016. Its totient is φ = 1557504.

The previous prime is 6367909. The next prime is 6367937. The reversal of 6367920 is 297636.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40482 + ... + 40638.

Almost surely, 2^6367920 is an apocalyptic number.

6367920 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 6367920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10756008).

6367920 is an abundant number, since it is smaller than the sum of its proper divisors (15144096).

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

6367920 is a wasteful number, since it uses less digits than its factorization.

6367920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 6367920 is about 2523.4737961786. The cubic root of 6367920 is about 185.3528207286.

The spelling of 6367920 in words is "six million, three hundred sixty-seven thousand, nine hundred twenty".