68160960 has 448 divisors, whose sum is σ = 292608000. Its totient is φ = 14902272.

The previous prime is 68160959. The next prime is 68160979. The reversal of 68160960 is 6906186.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963509 + ... + 2963531.

Almost surely, 2^68160960 is an apocalyptic number.

68160960 is a gapful number since it is divisible by the number (60) 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 68160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

68160960 is an abundant number, since it is smaller than the sum of its proper divisors (224447040).

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

68160960 is a wasteful number, since it uses less digits than its factorization.

68160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68160960 is about 8255.9651162054. The cubic root of 68160960 is about 408.4873070119.

It can be divided in two parts, 68 and 160960, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 68160960 in words is "sixty-eight million, one hundred sixty thousand, nine hundred sixty".