68348160 has 216 divisors, whose sum is σ = 251105400. Its totient is φ = 17104896.

The previous prime is 68348153. The next prime is 68348171. The reversal of 68348160 is 6184386.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 47114496 = 4608^2 + 6864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195666 + ... + 196014.

It is an arithmetic number, because the mean of its divisors is an integer number (1162525).

Almost surely, 2^68348160 is an apocalyptic number.

68348160 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 68348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125552700).

68348160 is an abundant number, since it is smaller than the sum of its proper divisors (182757240).

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

68348160 is a wasteful number, since it uses less digits than its factorization.

68348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68348160 is about 8267.2945998071. The cubic root of 68348160 is about 408.8609271644.

The spelling of 68348160 in words is "sixty-eight million, three hundred forty-eight thousand, one hundred sixty".