4005560 has 32 divisors (see below), whose sum is σ = 9707040. Its totient is φ = 1478784.

The previous prime is 4005553. The next prime is 4005613. The reversal of 4005560 is 655004.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3332 + ... + 4371.

It is an arithmetic number, because the mean of its divisors is an integer number (303345).

Almost surely, 2^4005560 is an apocalyptic number.

4005560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005560 is an abundant number, since it is smaller than the sum of its proper divisors (5701480).

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

4005560 is a wasteful number, since it uses less digits than its factorization.

4005560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7727 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 4005560 is about 2001.3895173104. The cubic root of 4005560 is about 158.8136207272.

The spelling of 4005560 in words is "four million, five thousand, five hundred sixty".