68136120 has 256 divisors, whose sum is σ = 256435200. Its totient is φ = 15966720.

The previous prime is 68136077. The next prime is 68136127. The reversal of 68136120 is 2163186.

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 (68136127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322815 + ... + 323025.

It is an arithmetic number, because the mean of its divisors is an integer number (1001700).

Almost surely, 2^68136120 is an apocalyptic number.

68136120 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 68136120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128217600).

68136120 is an abundant number, since it is smaller than the sum of its proper divisors (188299080).

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

68136120 is a wasteful number, since it uses less digits than its factorization.

68136120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68136120 is about 8254.4606122993. The cubic root of 68136120 is about 408.4376791039.

The spelling of 68136120 in words is "sixty-eight million, one hundred thirty-six thousand, one hundred twenty".