4113680 has 20 divisors (see below), whose sum is σ = 9564492. Its totient is φ = 1645440.

The previous prime is 4113667. The next prime is 4113691. The reversal of 4113680 is 863114.

It can be written as a sum of positive squares in 2 ways, for example, as 1993744 + 2119936 = 1412^2 + 1456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25631 + ... + 25790.

Almost surely, 2^4113680 is an apocalyptic number.

4113680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113680 is an abundant number, since it is smaller than the sum of its proper divisors (5450812).

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

4113680 is a wasteful number, since it uses less digits than its factorization.

4113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51434 (or 51428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 4113680 is about 2028.2208952676. The cubic root of 4113680 is about 160.2298779011.

Adding to 4113680 its reverse (863114), we get a palindrome (4976794).

The spelling of 4113680 in words is "four million, one hundred thirteen thousand, six hundred eighty".