4016160 has 72 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 1070592.

The previous prime is 4016153. The next prime is 4016161. The reversal of 4016160 is 616104.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 144 = 2004^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4016160² = 32259082291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4016161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 2834.

Almost surely, 2^4016160 is an apocalyptic number.

4016160 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 4016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030).

4016160 is an abundant number, since it is smaller than the sum of its proper divisors (9693900).

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

4016160 is a wasteful number, since it uses less digits than its factorization.

4016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4016160 is about 2004.0359278217. The cubic root of 4016160 is about 158.9535879726.

Subtracting from 4016160 its product of nonzero digits (144), we obtain a square (4016016 = 2004²).

It can be divided in two parts, 401 and 6160, that added together give a 8-th power (6561 = 3⁸).

The spelling of 4016160 in words is "four million, sixteen thousand, one hundred sixty".