4000560 has 80 divisors (see below), whose sum is σ = 12618240. Its totient is φ = 1048320.

The previous prime is 4000553. The next prime is 4000561. The reversal of 4000560 is 650004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4000561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18855 + ... + 19065.

It is an arithmetic number, because the mean of its divisors is an integer number (157728).

Almost surely, 2^4000560 is an apocalyptic number.

4000560 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 4000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309120).

4000560 is an abundant number, since it is smaller than the sum of its proper divisors (8617680).

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

4000560 is a wasteful number, since it uses less digits than its factorization.

4000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4000560 is about 2000.1399951003. The cubic root of 4000560 is about 158.7475127227.

Adding to 4000560 its reverse (650004), we get a palindrome (4650564).

It can be divided in two parts, 4000 and 560, that added together give a triangular number (4560 = T₉₅).

The spelling of 4000560 in words is "four million, five hundred sixty", and thus it is an aban number.