4013680 has 40 divisors (see below), whose sum is σ = 10182384. Its totient is φ = 1459200.

The previous prime is 4013671. The next prime is 4013699. The reversal of 4013680 is 863104.

4013680 = 72² + 73² + ... + 231².

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

It is a super-2 number, since 2×4013680² = 32219254284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 3160.

Almost surely, 2^4013680 is an apocalyptic number.

4013680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013680 is an abundant number, since it is smaller than the sum of its proper divisors (6168704).

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

4013680 is a wasteful number, since it uses less digits than its factorization.

4013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4013680 is about 2003.4170808895. The cubic root of 4013680 is about 158.9208630092.

Subtracting from 4013680 its product of nonzero digits (576), we obtain a palindrome (4013104).

Adding to 4013680 its reverse (863104), we get a palindrome (4876784).

The spelling of 4013680 in words is "four million, thirteen thousand, six hundred eighty".