163965888 has 168 divisors, whose sum is σ = 494269776. Its totient is φ = 51916800.

The previous prime is 163965887. The next prime is 163965889. The reversal of 163965888 is 888569361.

163965888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163965887) and next prime (163965889).

Its product of digits (2488320) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163965881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251583 + ... + 1251713.

It is an arithmetic number, because the mean of its divisors is an integer number (2942082).

Almost surely, 2^163965888 is an apocalyptic number.

163965888 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 163965888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247134888).

163965888 is an abundant number, since it is smaller than the sum of its proper divisors (330303888).

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

163965888 is a wasteful number, since it uses less digits than its factorization.

163965888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 163965888 is about 12804.9165557609. The cubic root of 163965888 is about 547.3324138361.

The spelling of 163965888 in words is "one hundred sixty-three million, nine hundred sixty-five thousand, eight hundred eighty-eight".