68128020 has 96 divisors (see below), whose sum is σ = 214771200. Its totient is φ = 17926272.

The previous prime is 68128003. The next prime is 68128031. The reversal of 68128020 is 2082186.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41862 + ... + 43458.

It is an arithmetic number, because the mean of its divisors is an integer number (2237200).

Almost surely, 2^68128020 is an apocalyptic number.

68128020 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 68128020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107385600).

68128020 is an abundant number, since it is smaller than the sum of its proper divisors (146643180).

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

68128020 is a wasteful number, since it uses less digits than its factorization.

68128020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68128020 is about 8253.9699539070. The cubic root of 68128020 is about 408.4214934826.

The spelling of 68128020 in words is "sixty-eight million, one hundred twenty-eight thousand, twenty".