4168880 has 60 divisors (see below), whose sum is σ = 10255296. Its totient is φ = 1574400.

The previous prime is 4168861. The next prime is 4168883. The reversal of 4168880 is 888614.

It is a self number, because there is not a number n which added to its sum of digits gives 4168880.

It is not an unprimeable number, because it can be changed into a prime (4168883) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 101660 + ... + 101700.

Almost surely, 2^4168880 is an apocalyptic number.

4168880 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 4168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127648).

4168880 is an abundant number, since it is smaller than the sum of its proper divisors (6086416).

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

4168880 is a wasteful number, since it uses less digits than its factorization.

4168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 4168880 is about 2041.7835340702. The cubic root of 4168880 is about 160.9433850552.

It can be divided in two parts, 41 and 68880, that added together give a cube (68921 = 41³).

The spelling of 4168880 in words is "four million, one hundred sixty-eight thousand, eight hundred eighty".