1800162 has 72 divisors (see below), whose sum is σ = 4917276. Its totient is φ = 471744.

The previous prime is 1800157. The next prime is 1800167. The reversal of 1800162 is 2610081.

It is an interprime number because it is at equal distance from previous prime (1800157) and next prime (1800167).

It can be written as a sum of positive squares in 2 ways, for example, as 1640961 + 159201 = 1281^2 + 399^2 .

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

1800162 is a modest number, since divided by 162 gives 18 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1800167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11388 + ... + 11544.

2^1800162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458638).

1800162 is an abundant number, since it is smaller than the sum of its proper divisors (3117114).

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

1800162 is a wasteful number, since it uses less digits than its factorization.

1800162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

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

The square root of 1800162 is about 1341.7011589769. The cubic root of 1800162 is about 121.6476891232.

It can be divided in two parts, 1800 and 162, that multiplied together give a square (291600 = 540²).

The spelling of 1800162 in words is "one million, eight hundred thousand, one hundred sixty-two".