168122628 has 90 divisors (see below), whose sum is σ = 455921466. Its totient is φ = 54020736.

The previous prime is 168122623. The next prime is 168122671. The reversal of 168122628 is 826221861.

168122628 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 22 + 628 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 166100544 = 1422^2 + 12888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 168122592 and 168122601.

It is not an unprimeable number, because it can be changed into a prime (168122623) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 272176 + ... + 272792.

Almost surely, 2^168122628 is an apocalyptic number.

168122628 is a gapful number since it is divisible by the number (18) 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 168122628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227960733).

168122628 is an abundant number, since it is smaller than the sum of its proper divisors (287798838).

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

168122628 is a wasteful number, since it uses less digits than its factorization.

168122628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 651 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 168122628 is about 12966.2110117027. The cubic root of 168122628 is about 551.9190571296.

The spelling of 168122628 in words is "one hundred sixty-eight million, one hundred twenty-two thousand, six hundred twenty-eight".