162444000 has 96 divisors (see below), whose sum is σ = 532205856. Its totient is φ = 43315200.

The previous prime is 162443971. The next prime is 162444017. The reversal of 162444000 is 444261.

162444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5232 + ... + 18768.

It is an arithmetic number, because the mean of its divisors is an integer number (5543811).

Almost surely, 2^162444000 is an apocalyptic number.

162444000 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 162444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266102928).

162444000 is an abundant number, since it is smaller than the sum of its proper divisors (369761856).

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

162444000 is a wasteful number, since it uses less digits than its factorization.

162444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13565 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 162444000 is about 12745.3520939988. The cubic root of 162444000 is about 545.6337491987.

Adding to 162444000 its reverse (444261), we get a palindrome (162888261).

The spelling of 162444000 in words is "one hundred sixty-two million, four hundred forty-four thousand".