67020 has 24 divisors (see below), whose sum is σ = 187824. Its totient is φ = 17856.

The previous prime is 67003. The next prime is 67021. The reversal of 67020 is 2076.

67020 = 88² + 89² + ... + 95².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (67021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (7826).

2⁶⁷⁰²⁰ is an apocalyptic number.

67020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67020 is an abundant number, since it is smaller than the sum of its proper divisors (120804).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93912).

67020 is a wasteful number, since it uses less digits than its factorization.

67020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 67020 is about 258.8822125987. The cubic root of 67020 is about 40.6195219438.

Adding to 67020 its reverse (2076), we get a palindrome (69096).

The spelling of 67020 in words is "sixty-seven thousand, twenty".