68160160 has 48 divisors (see below), whose sum is σ = 164789856. Its totient is φ = 26627328.

The previous prime is 68160149. The next prime is 68160161. The reversal of 68160160 is 6106186.

68160160 = T₅₂₁₉ + T₅₂₂₀ + ... + T₅₂₂₃.

It is a super-2 number, since 2×68160160² = 9291614822451200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68160161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927 + ... + 11833.

It is an arithmetic number, because the mean of its divisors is an integer number (3433122).

Almost surely, 2^68160160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82394928).

68160160 is an abundant number, since it is smaller than the sum of its proper divisors (96629696).

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

68160160 is a wasteful number, since it uses less digits than its factorization.

68160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 68160160 is about 8255.9166662461. The cubic root of 68160160 is about 408.4857088775.

The spelling of 68160160 in words is "sixty-eight million, one hundred sixty thousand, one hundred sixty".