163435968 has 196 divisors, whose sum is σ = 506382528. Its totient is φ = 52254720.

The previous prime is 163435939. The next prime is 163435969. The reversal of 163435968 is 869534361.

163435968 is a `hidden beast` number, since 1 + 634 + 3 + 5 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×163435968² = 53422631272194048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163435969) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1446280 + ... + 1446392.

Almost surely, 2^163435968 is an apocalyptic number.

163435968 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 163435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253191264).

163435968 is an abundant number, since it is smaller than the sum of its proper divisors (342946560).

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

163435968 is an equidigital number, since it uses as much as digits as its factorization.

163435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 163435968 is about 12784.2077580114. The cubic root of 163435968 is about 546.7421377724.

The spelling of 163435968 in words is "one hundred sixty-three million, four hundred thirty-five thousand, nine hundred sixty-eight".