6427980 has 144 divisors (see below), whose sum is σ = 21831264. Its totient is φ = 1520640.

The previous prime is 6427979. The next prime is 6427987. The reversal of 6427980 is 897246.

6427980 is a `hidden beast` number, since 642 + 7 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6427987) 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, 95907 + ... + 95973.

It is an arithmetic number, because the mean of its divisors is an integer number (151606).

Almost surely, 2^6427980 is an apocalyptic number.

6427980 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 6427980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10915632).

6427980 is an abundant number, since it is smaller than the sum of its proper divisors (15403284).

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

6427980 is a wasteful number, since it uses less digits than its factorization.

6427980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6427980 is about 2535.3461302158. The cubic root of 6427980 is about 185.9337259550.

The spelling of 6427980 in words is "six million, four hundred twenty-seven thousand, nine hundred eighty".