162844900 has 36 divisors (see below), whose sum is σ = 355453812. Its totient is φ = 64754560.

The previous prime is 162844883. The next prime is 162844909. The reversal of 162844900 is 9448261.

It can be written as a sum of positive squares in 6 ways, for example, as 33431524 + 129413376 = 5782^2 + 11376^2 .

It is a super-2 number, since 2×162844900² = 53036922912020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162844909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12594 + ... + 22006.

It is an arithmetic number, because the mean of its divisors is an integer number (9873717).

Almost surely, 2^162844900 is an apocalyptic number.

162844900 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 162844900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177726906).

162844900 is an abundant number, since it is smaller than the sum of its proper divisors (192608912).

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

162844900 is a wasteful number, since it uses less digits than its factorization.

162844900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 162844900 is about 12761.0697043782. The cubic root of 162844900 is about 546.0822419466.

The spelling of 162844900 in words is "one hundred sixty-two million, eight hundred forty-four thousand, nine hundred".