162085000 has 160 divisors (see below), whose sum is σ = 474598080. Its totient is φ = 50400000.

The previous prime is 162084997. The next prime is 162085003. The reversal of 162085000 is 580261.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (162084997) and next prime (162085003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162085003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384790 + ... + 385210.

It is an arithmetic number, because the mean of its divisors is an integer number (2966238).

Almost surely, 2^162085000 is an apocalyptic number.

162085000 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 162085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237299040).

162085000 is an abundant number, since it is smaller than the sum of its proper divisors (312513080).

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

162085000 is a wasteful number, since it uses less digits than its factorization.

162085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 162085000 is about 12731.2607388271. The cubic root of 162085000 is about 545.2315039265.

The spelling of 162085000 in words is "one hundred sixty-two million, eighty-five thousand".