168296832 has 256 divisors, whose sum is σ = 572832000. Its totient is φ = 48107520.

The previous prime is 168296827. The next prime is 168296833. The reversal of 168296832 is 238692861.

It is a super-2 number, since 2×168296832² = 56647647322472448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168296833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722188 + ... + 722420.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 2^168296832 is an apocalyptic number.

168296832 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 168296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286416000).

168296832 is an abundant number, since it is smaller than the sum of its proper divisors (404535168).

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

168296832 is a wasteful number, since it uses less digits than its factorization.

168296832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 168296832 is about 12972.9268864046. The cubic root of 168296832 is about 552.1096190616.

The spelling of 168296832 in words is "one hundred sixty-eight million, two hundred ninety-six thousand, eight hundred thirty-two".