163861632 has 192 divisors, whose sum is σ = 524777760. Its totient is φ = 48660480.

The previous prime is 163861627. The next prime is 163861651. The reversal of 163861632 is 236168361.

163861632 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 616 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

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, 848928 + ... + 849120.

Almost surely, 2^163861632 is an apocalyptic number.

163861632 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 163861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262388880).

163861632 is an abundant number, since it is smaller than the sum of its proper divisors (360916128).

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

163861632 is a wasteful number, since it uses less digits than its factorization.

163861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

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

The square root of 163861632 is about 12800.8449721102. The cubic root of 163861632 is about 547.2163840380.

The spelling of 163861632 in words is "one hundred sixty-three million, eight hundred sixty-one thousand, six hundred thirty-two".