168643632 has 80 divisors (see below), whose sum is σ = 450372960. Its totient is φ = 54337536.

The previous prime is 168643609. The next prime is 168643679. The reversal of 168643632 is 236346861.

It is a super-2 number, since 2×168643632² = 56881349228302848, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 477568 + ... + 477920.

It is an arithmetic number, because the mean of its divisors is an integer number (5629662).

Almost surely, 2^168643632 is an apocalyptic number.

168643632 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 168643632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225186480).

168643632 is an abundant number, since it is smaller than the sum of its proper divisors (281729328).

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

168643632 is a wasteful number, since it uses less digits than its factorization.

168643632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 168643632 is about 12986.2863051759. The cubic root of 168643632 is about 552.4885928181.

The spelling of 168643632 in words is "one hundred sixty-eight million, six hundred forty-three thousand, six hundred thirty-two".