66920 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 22848.

The previous prime is 66919. The next prime is 66923. The reversal of 66920 is 2966.

It is not an unprimeable number, because it can be changed into a prime (66923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁶⁶⁹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

66920 is an abundant number, since it is smaller than the sum of its proper divisors (105880).

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

66920 is a wasteful number, since it uses less digits than its factorization.

66920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 66920 is about 258.6890024721. The cubic root of 66920 is about 40.5993092006.

The spelling of 66920 in words is "sixty-six thousand, nine hundred twenty".