160821920 has 144 divisors (see below), whose sum is σ = 449621928. Its totient is φ = 54190080.

The previous prime is 160821917. The next prime is 160821923. The reversal of 160821920 is 29128061.

It is an interprime number because it is at equal distance from previous prime (160821917) and next prime (160821923).

It can be written as a sum of positive squares in 4 ways, for example, as 142945936 + 17875984 = 11956^2 + 4228^2 .

It is not an unprimeable number, because it can be changed into a prime (160821923) 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 23 ways as a sum of consecutive naturals, for example, 572180 + ... + 572460.

Almost surely, 2^160821920 is an apocalyptic number.

160821920 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 160821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224810964).

160821920 is an abundant number, since it is smaller than the sum of its proper divisors (288800008).

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

160821920 is a wasteful number, since it uses less digits than its factorization.

160821920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 160821920 is about 12681.5582638728. The cubic root of 160821920 is about 543.8115336185.

Adding to 160821920 its reverse (29128061), we get a palindrome (189949981).

The spelling of 160821920 in words is "one hundred sixty million, eight hundred twenty-one thousand, nine hundred twenty".