4165560 has 256 divisors, whose sum is σ = 17280000. Its totient is φ = 870912.

The previous prime is 4165549. The next prime is 4165573. The reversal of 4165560 is 655614.

It is a happy number.

4165560 is a `hidden beast` number, since 4 + 1 + 655 + 6 + 0 = 666.

It is a super-2 number, since 2×4165560² = 34703780227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143626 + ... + 143654.

It is an arithmetic number, because the mean of its divisors is an integer number (67500).

Almost surely, 2^4165560 is an apocalyptic number.

4165560 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 4165560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640000).

4165560 is an abundant number, since it is smaller than the sum of its proper divisors (13114440).

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

4165560 is a wasteful number, since it uses less digits than its factorization.

4165560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4165560 is about 2040.9703574526. The cubic root of 4165560 is about 160.9006498406.

The spelling of 4165560 in words is "four million, one hundred sixty-five thousand, five hundred sixty".