168688992 has 96 divisors (see below), whose sum is σ = 486501120. Its totient is φ = 50941440.

The previous prime is 168688939. The next prime is 168689021. The reversal of 168688992 is 299886861.

168688992 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39942 + ... + 43962.

It is an arithmetic number, because the mean of its divisors is an integer number (5067720).

Almost surely, 2^168688992 is an apocalyptic number.

168688992 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 168688992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243250560).

168688992 is an abundant number, since it is smaller than the sum of its proper divisors (317812128).

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

168688992 is a wasteful number, since it uses less digits than its factorization.

168688992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4068 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 57.

The square root of 168688992 is about 12988.0326454779. The cubic root of 168688992 is about 552.5381225785.

The spelling of 168688992 in words is "one hundred sixty-eight million, six hundred eighty-eight thousand, nine hundred ninety-two".