6313680 has 160 divisors (see below), whose sum is σ = 22617600. Its totient is φ = 1617408.

The previous prime is 6313669. The next prime is 6313691. The reversal of 6313680 is 863136.

It is an interprime number because it is at equal distance from previous prime (6313669) and next prime (6313691).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79881 + ... + 79959.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

Almost surely, 2^6313680 is an apocalyptic number.

6313680 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 6313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308800).

6313680 is an abundant number, since it is smaller than the sum of its proper divisors (16303920).

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

6313680 is a wasteful number, since it uses less digits than its factorization.

6313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6313680 is about 2512.7037230840. The cubic root of 6313680 is about 184.8250598500.

The spelling of 6313680 in words is "six million, three hundred thirteen thousand, six hundred eighty".