163312020 has 72 divisors (see below), whose sum is σ = 507485160. Its totient is φ = 42485760.

The previous prime is 163312003. The next prime is 163312069. The reversal of 163312020 is 20213361.

163312020 is a `hidden beast` number, since 1 + 633 + 12 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 146023056 = 4158^2 + 12084^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 163311984 and 163312002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3685 + ... + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (7048405).

Almost surely, 2^163312020 is an apocalyptic number.

163312020 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 163312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253742580).

163312020 is an abundant number, since it is smaller than the sum of its proper divisors (344173140).

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

163312020 is a wasteful number, since it uses less digits than its factorization.

163312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22185 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 163312020 is about 12779.3591388614. The cubic root of 163312020 is about 546.6038884549.

Adding to 163312020 its reverse (20213361), we get a palindrome (183525381).

The spelling of 163312020 in words is "one hundred sixty-three million, three hundred twelve thousand, twenty".