6407180 has 48 divisors (see below), whose sum is σ = 15264480. Its totient is φ = 2239488.

The previous prime is 6407131. The next prime is 6407189. The reversal of 6407180 is 817046.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (6407189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4292 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (318010).

Almost surely, 2^6407180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632240).

6407180 is an abundant number, since it is smaller than the sum of its proper divisors (8857300).

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

6407180 is a wasteful number, since it uses less digits than its factorization.

6407180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 6407180 is about 2531.2408024524. The cubic root of 6407180 is about 185.7329578296.

The spelling of 6407180 in words is "six million, four hundred seven thousand, one hundred eighty".