168914980 has 48 divisors (see below), whose sum is σ = 383811120. Its totient is φ = 62074368.

The previous prime is 168914909. The next prime is 168914983. The reversal of 168914980 is 89419861.

It can be written as a sum of positive squares in 8 ways, for example, as 15303744 + 153611236 = 3912^2 + 12394^2 .

It is a super-3 number, since 3×168914980³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 168914980.

It is not an unprimeable number, because it can be changed into a prime (168914983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58122 + ... + 60958.

It is an arithmetic number, because the mean of its divisors is an integer number (7996065).

Almost surely, 2^168914980 is an apocalyptic number.

168914980 is a gapful number since it is divisible by the number (10) 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 168914980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191905560).

168914980 is an abundant number, since it is smaller than the sum of its proper divisors (214896140).

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

168914980 is a wasteful number, since it uses less digits than its factorization.

168914980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 168914980 is about 12996.7295886311. The cubic root of 168914980 is about 552.7847525155.

The spelling of 168914980 in words is "one hundred sixty-eight million, nine hundred fourteen thousand, nine hundred eighty".