67920 has 40 divisors (see below), whose sum is σ = 211296. Its totient is φ = 18048.

The previous prime is 67901. The next prime is 67927. The reversal of 67920 is 2976.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×67920² = 9226252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67927) by changing a digit.

67920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 381.

2⁶⁷⁹²⁰ is an apocalyptic number.

67920 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 67920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105648).

67920 is an abundant number, since it is smaller than the sum of its proper divisors (143376).

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

67920 is a wasteful number, since it uses less digits than its factorization.

67920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 67920 is about 260.6146580682. The cubic root of 67920 is about 40.8005382474.

Subtracting from 67920 its sum of digits (24), we obtain a triangular number (67896 = T₃₆₈).

The spelling of 67920 in words is "sixty-seven thousand, nine hundred twenty".