4146560 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 1382400.

The previous prime is 4146559. The next prime is 4146577. The reversal of 4146560 is 656414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133745 + ... + 133775.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^4146560 is an apocalyptic number.

4146560 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 4146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

4146560 is an abundant number, since it is smaller than the sum of its proper divisors (7603840).

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

4146560 is a wasteful number, since it uses less digits than its factorization.

4146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4146560 is about 2036.3103889142. The cubic root of 4146560 is about 160.6556429902.

The spelling of 4146560 in words is "four million, one hundred forty-six thousand, five hundred sixty".