163564128 has 216 divisors, whose sum is σ = 579812688. Its totient is φ = 42591744.

The previous prime is 163564099. The next prime is 163564229. The reversal of 163564128 is 821465361.

It is a happy number.

163564128 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 641 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 163564092 and 163564101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2070393 + ... + 2070471.

It is an arithmetic number, because the mean of its divisors is an integer number (2684318).

Almost surely, 2^163564128 is an apocalyptic number.

163564128 is a gapful number since it is divisible by the number (18) 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 163564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289906344).

163564128 is an abundant number, since it is smaller than the sum of its proper divisors (416248560).

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

163564128 is a wasteful number, since it uses less digits than its factorization.

163564128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 104 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 163564128 is about 12789.2192099440. The cubic root of 163564128 is about 546.8850115958.

The spelling of 163564128 in words is "one hundred sixty-three million, five hundred sixty-four thousand, one hundred twenty-eight".