168613760 has 128 divisors (see below), whose sum is σ = 468987840. Its totient is φ = 56770560.

The previous prime is 168613747. The next prime is 168613777. The reversal of 168613760 is 67316861.

168613760 is digitally balanced in base 3, because in such base 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 (128).

It is a super-2 number, since 2×168613760² = 56861200122675200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 272972 + ... + 273588.

Almost surely, 2^168613760 is an apocalyptic number.

168613760 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 168613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234493920).

168613760 is an abundant number, since it is smaller than the sum of its proper divisors (300374080).

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

168613760 is an equidigital number, since it uses as much as digits as its factorization.

168613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 168613760 is about 12985.1361178849. The cubic root of 168613760 is about 552.4559699562.

The spelling of 168613760 in words is "one hundred sixty-eight million, six hundred thirteen thousand, seven hundred sixty".