168661332 has 192 divisors, whose sum is σ = 530880000. Its totient is φ = 46230912.

The previous prime is 168661307. The next prime is 168661343. The reversal of 168661332 is 233166861.

168661332 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 613 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1074198 + ... + 1074354.

It is an arithmetic number, because the mean of its divisors is an integer number (2765000).

Almost surely, 2^168661332 is an apocalyptic number.

168661332 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 168661332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265440000).

168661332 is an abundant number, since it is smaller than the sum of its proper divisors (362218668).

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

168661332 is a wasteful number, since it uses less digits than its factorization.

168661332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

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

The square root of 168661332 is about 12986.9677754278. The cubic root of 168661332 is about 552.5079209637.

The spelling of 168661332 in words is "one hundred sixty-eight million, six hundred sixty-one thousand, three hundred thirty-two".