162830880 has 144 divisors (see below), whose sum is σ = 563635800. Its totient is φ = 42799104.

The previous prime is 162830867. The next prime is 162830897. The reversal of 162830880 is 88038261.

162830880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123743376 + 39087504 = 11124^2 + 6252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 104346 + ... + 105894.

Almost surely, 2^162830880 is an apocalyptic number.

162830880 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 162830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281817900).

162830880 is an abundant number, since it is smaller than the sum of its proper divisors (400804920).

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

162830880 is a wasteful number, since it uses less digits than its factorization.

162830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 162830880 is about 12760.5203655650. The cubic root of 162830880 is about 546.0665699938.

The spelling of 162830880 in words is "one hundred sixty-two million, eight hundred thirty thousand, eight hundred eighty".