4180680 has 192 divisors, whose sum is σ = 16416000. Its totient is φ = 943488.

The previous prime is 4180679. The next prime is 4180723. The reversal of 4180680 is 860814.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52881 + ... + 52959.

It is an arithmetic number, because the mean of its divisors is an integer number (85500).

Almost surely, 2^4180680 is an apocalyptic number.

4180680 is a gapful number since it is divisible by the number (40) 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 4180680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208000).

4180680 is an abundant number, since it is smaller than the sum of its proper divisors (12235320).

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

4180680 is a wasteful number, since it uses less digits than its factorization.

4180680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4180680 is about 2044.6711226992. The cubic root of 4180680 is about 161.0950919027.

The spelling of 4180680 in words is "four million, one hundred eighty thousand, six hundred eighty".