162891960 has 384 divisors, whose sum is σ = 657815040. Its totient is φ = 31334400.

The previous prime is 162891929. The next prime is 162891961. The reversal of 162891960 is 69198261.

162891960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162891961) 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 95 ways as a sum of consecutive naturals, for example, 2670330 + ... + 2670390.

It is an arithmetic number, because the mean of its divisors is an integer number (1713060).

Almost surely, 2^162891960 is an apocalyptic number.

162891960 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 162891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328907520).

162891960 is an abundant number, since it is smaller than the sum of its proper divisors (494923080).

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

162891960 is a wasteful number, since it uses less digits than its factorization.

162891960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 162891960 is about 12762.9134604917. The cubic root of 162891960 is about 546.1348403704.

The spelling of 162891960 in words is "one hundred sixty-two million, eight hundred ninety-one thousand, nine hundred sixty".