168964840 has 64 divisors (see below), whose sum is σ = 417908160. Its totient is φ = 60971520.

The previous prime is 168964837. The next prime is 168964841. The reversal of 168964840 is 48469861.

It is not an unprimeable number, because it can be changed into a prime (168964841) 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, 58879 + ... + 61681.

It is an arithmetic number, because the mean of its divisors is an integer number (6529815).

Almost surely, 2^168964840 is an apocalyptic number.

168964840 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 168964840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208954080).

168964840 is an abundant number, since it is smaller than the sum of its proper divisors (248943320).

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

168964840 is a wasteful number, since it uses less digits than its factorization.

168964840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 168964840 is about 12998.6476219644. The cubic root of 168964840 is about 552.8391371460.

It can be divided in two parts, 16896 and 4840, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 168964840 in words is "one hundred sixty-eight million, nine hundred sixty-four thousand, eight hundred forty".