6301680 has 240 divisors, whose sum is σ = 25331712. Its totient is φ = 1267200.

The previous prime is 6301667. The next prime is 6301681. The reversal of 6301680 is 861036.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6301680² = 79422341644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6301680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6301681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203265 + ... + 203295.

Almost surely, 2^6301680 is an apocalyptic number.

6301680 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 6301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665856).

6301680 is an abundant number, since it is smaller than the sum of its proper divisors (19030032).

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

6301680 is a wasteful number, since it uses less digits than its factorization.

6301680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6301680 is about 2510.3147213049. The cubic root of 6301680 is about 184.7078906057.

The spelling of 6301680 in words is "six million, three hundred one thousand, six hundred eighty".