1820160 has 120 divisors (see below), whose sum is σ = 6383520. Its totient is φ = 479232.

The previous prime is 1820153. The next prime is 1820171. The reversal of 1820160 is 610281.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23001 + ... + 23079.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

2^1820160 is an apocalyptic number.

1820160 is a gapful number since it is divisible by the number (10) 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 1820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191760).

1820160 is an abundant number, since it is smaller than the sum of its proper divisors (4563360).

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

1820160 is an equidigital number, since it uses as much as digits as its factorization.

1820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1820160 is about 1349.1330549653. The cubic root of 1820160 is about 122.0964926842.

The spelling of 1820160 in words is "one million, eight hundred twenty thousand, one hundred sixty".