4018560 has 256 divisors, whose sum is σ = 16450560. Its totient is φ = 811008.

The previous prime is 4018543. The next prime is 4018589. The reversal of 4018560 is 658104.

It is a super-2 number, since 2×4018560² = 32297648947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4018560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174709 + ... + 174731.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

Almost surely, 2^4018560 is an apocalyptic number.

4018560 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 4018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

4018560 is an abundant number, since it is smaller than the sum of its proper divisors (12432000).

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

4018560 is a wasteful number, since it uses less digits than its factorization.

4018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 4018560 is about 2004.6346300511. The cubic root of 4018560 is about 158.9852444675.

4018560 divided by its product of nonzero digits (960) gives a triangular number (4186 = T₉₁).

The spelling of 4018560 in words is "four million, eighteen thousand, five hundred sixty".