163890432 has 144 divisors (see below), whose sum is σ = 491050560. Its totient is φ = 53913600.

The previous prime is 163890403. The next prime is 163890437. The reversal of 163890432 is 234098361.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×163890432² = 53720147402293248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163890437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905382 + ... + 905562.

Almost surely, 2^163890432 is an apocalyptic number.

163890432 is a gapful number since it is divisible by the number (12) 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 163890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245525280).

163890432 is an abundant number, since it is smaller than the sum of its proper divisors (327160128).

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

163890432 is a wasteful number, since it uses less digits than its factorization.

163890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 163890432 is about 12801.9698484257. The cubic root of 163890432 is about 547.2484413871.

The spelling of 163890432 in words is "one hundred sixty-three million, eight hundred ninety thousand, four hundred thirty-two".