4005360 has 60 divisors (see below), whose sum is σ = 13453752. Its totient is φ = 1067904.

The previous prime is 4005347. The next prime is 4005367. The reversal of 4005360 is 635004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2062 + ... + 3501.

Almost surely, 2^4005360 is an apocalyptic number.

4005360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005360 is an abundant number, since it is smaller than the sum of its proper divisors (9448392).

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

4005360 is a wasteful number, since it uses less digits than its factorization.

4005360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4005360 is about 2001.3395514005. The cubic root of 4005360 is about 158.8109774636.

The spelling of 4005360 in words is "four million, five thousand, three hundred sixty".