168241632 has 96 divisors (see below), whose sum is σ = 480217248. Its totient is φ = 51265536.

The previous prime is 168241631. The next prime is 168241649. The reversal of 168241632 is 236142861.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 168241593 and 168241602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168241631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140428 + ... + 141620.

It is an arithmetic number, because the mean of its divisors is an integer number (5002263).

Almost surely, 2^168241632 is an apocalyptic number.

168241632 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 168241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240108624).

168241632 is an abundant number, since it is smaller than the sum of its proper divisors (311975616).

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

168241632 is a wasteful number, since it uses less digits than its factorization.

168241632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 168241632 is about 12970.7992043667. The cubic root of 168241632 is about 552.0492499641.

The spelling of 168241632 in words is "one hundred sixty-eight million, two hundred forty-one thousand, six hundred thirty-two".