68541120 has 112 divisors (see below), whose sum is σ = 241828320. Its totient is φ = 18275328.

The previous prime is 68541119. The next prime is 68541133. The reversal of 68541120 is 2114586.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4674 + ... + 12606.

Almost surely, 2^68541120 is an apocalyptic number.

68541120 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 68541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120914160).

68541120 is an abundant number, since it is smaller than the sum of its proper divisors (173287200).

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

68541120 is a wasteful number, since it uses less digits than its factorization.

68541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68541120 is about 8278.9564559792. The cubic root of 68541120 is about 409.2453299857.

The spelling of 68541120 in words is "sixty-eight million, five hundred forty-one thousand, one hundred twenty".