2036160 has 168 divisors, whose sum is σ = 8083296. Its totient is φ = 460800.

The previous prime is 2036143. The next prime is 2036161. The reversal of 2036160 is 616302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20110 + ... + 20210.

2^2036160 is an apocalyptic number.

2036160 is a gapful number since it is divisible by the number (20) 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 2036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041648).

2036160 is an abundant number, since it is smaller than the sum of its proper divisors (6047136).

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

2036160 is a wasteful number, since it uses less digits than its factorization.

2036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2036160 is about 1426.9407836347. The cubic root of 2036160 is about 126.7468867039.

The spelling of 2036160 in words is "two million, thirty-six thousand, one hundred sixty".