4102680 has 64 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 1082240.

The previous prime is 4102667. The next prime is 4102687. The reversal of 4102680 is 862014.

4102680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4102680 is a nontrivial binomial coefficient, being equal to C(2865, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21385 + ... + 21575.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^4102680 is an apocalyptic number.

4102680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4102680 is the 2864-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

4102680 is an abundant number, since it is smaller than the sum of its proper divisors (8338920).

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

4102680 is a wasteful number, since it uses less digits than its factorization.

4102680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4102680 is about 2025.5073438524. The cubic root of 4102680 is about 160.0869319259.

Adding to 4102680 its reverse (862014), we get a palindrome (4964694).

The spelling of 4102680 in words is "four million, one hundred two thousand, six hundred eighty".