67890 has 32 divisors (see below), whose sum is σ = 170496. Its totient is φ = 17280.

The previous prime is 67883. The next prime is 67891. The reversal of 67890 is 9876.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (67891) by changing a digit.

67890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (5328).

2⁶⁷⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85248).

67890 is an abundant number, since it is smaller than the sum of its proper divisors (102606).

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

67890 is a wasteful number, since it uses less digits than its factorization.

67890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 67890 is about 260.5570954705. The cubic root of 67890 is about 40.7945302164.

The spelling of 67890 in words is "sixty-seven thousand, eight hundred ninety".