4113640 has 16 divisors (see below), whose sum is σ = 9255780. Its totient is φ = 1645440.

The previous prime is 4113611. The next prime is 4113647. The reversal of 4113640 is 463114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3849444 + 264196 = 1962^2 + 514^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4113647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51381 + ... + 51460.

Almost surely, 2^4113640 is an apocalyptic number.

4113640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113640 is an abundant number, since it is smaller than the sum of its proper divisors (5142140).

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

4113640 is a wasteful number, since it uses less digits than its factorization.

4113640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102852 (or 102848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4113640 is about 2028.2110343847. The cubic root of 4113640 is about 160.2293585595.

Adding to 4113640 its reverse (463114), we get a palindrome (4576754).

It can be divided in two parts, 4113 and 640, that added together give a triangular number (4753 = T₉₇).

The spelling of 4113640 in words is "four million, one hundred thirteen thousand, six hundred forty".