168117120 has 384 divisors, whose sum is σ = 641571840. Its totient is φ = 41969664.

The previous prime is 168117119. The next prime is 168117121. The reversal of 168117120 is 21711861.

It is an interprime number because it is at equal distance from previous prime (168117119) and next prime (168117121).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168117121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576937 + ... + 3576983.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^168117120 is an apocalyptic number.

168117120 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 168117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

168117120 is an abundant number, since it is smaller than the sum of its proper divisors (473454720).

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

168117120 is an equidigital number, since it uses as much as digits as its factorization.

168117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 168117120 is about 12965.9986117537. The cubic root of 168117120 is about 551.9130297764.

Adding to 168117120 its reverse (21711861), we get a palindrome (189828981).

The spelling of 168117120 in words is "one hundred sixty-eight million, one hundred seventeen thousand, one hundred twenty".