68542020 has 72 divisors (see below), whose sum is σ = 209093976. Its totient is φ = 18173952.

The previous prime is 68542009. The next prime is 68542031. The reversal of 68542020 is 2024586.

It is an interprime number because it is at equal distance from previous prime (68542009) and next prime (68542031).

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 68459076 = 288^2 + 8274^2 .

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, 33754 + ... + 35726.

It is an arithmetic number, because the mean of its divisors is an integer number (2904083).

Almost surely, 2^68542020 is an apocalyptic number.

68542020 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 68542020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104546988).

68542020 is an abundant number, since it is smaller than the sum of its proper divisors (140551956).

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

68542020 is a wasteful number, since it uses less digits than its factorization.

68542020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68542020 is about 8279.0108104773. The cubic root of 68542020 is about 409.2471212179.

The spelling of 68542020 in words is "sixty-eight million, five hundred forty-two thousand, twenty".