4105680 has 40 divisors (see below), whose sum is σ = 12728352. Its totient is φ = 1094784.

The previous prime is 4105679. The next prime is 4105681. The reversal of 4105680 is 865014.

It is an interprime number because it is at equal distance from previous prime (4105679) and next prime (4105681).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4105680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8314 + ... + 8793.

Almost surely, 2^4105680 is an apocalyptic number.

4105680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105680 is an abundant number, since it is smaller than the sum of its proper divisors (8622672).

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

4105680 is a wasteful number, since it uses less digits than its factorization.

4105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17123 (or 17117 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 4105680 is about 2026.2477637249. The cubic root of 4105680 is about 160.1259425062.

The spelling of 4105680 in words is "four million, one hundred five thousand, six hundred eighty".