4013600 has 72 divisors (see below), whose sum is σ = 10194660. Its totient is φ = 1541120.

The previous prime is 4013591. The next prime is 4013621. The reversal of 4013600 is 63104.

4013600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2446096 + 1567504 = 1564^2 + 1252^2 .

It is a super-2 number, since 2×4013600² = 32217969920000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23114 + ... + 23286.

Almost surely, 2^4013600 is an apocalyptic number.

4013600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097330).

4013600 is an abundant number, since it is smaller than the sum of its proper divisors (6181060).

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

4013600 is a wasteful number, since it uses less digits than its factorization.

4013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4013600 is about 2003.3971149026. The cubic root of 4013600 is about 158.9198071408.

Adding to 4013600 its reverse (63104), we get a palindrome (4076704).

The spelling of 4013600 in words is "four million, thirteen thousand, six hundred".