68505120 has 144 divisors (see below), whose sum is σ = 236402712. Its totient is φ = 18063360.

The previous prime is 68505119. The next prime is 68505187. The reversal of 68505120 is 2150586.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 56972304 = 3396^2 + 7548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 162510 + ... + 162930.

Almost surely, 2^68505120 is an apocalyptic number.

68505120 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 68505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118201356).

68505120 is an abundant number, since it is smaller than the sum of its proper divisors (167897592).

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

68505120 is a wasteful number, since it uses less digits than its factorization.

68505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 68505120 is about 8276.7819833556. The cubic root of 68505120 is about 409.1736678360.

The spelling of 68505120 in words is "sixty-eight million, five hundred five thousand, one hundred twenty".