64890 has 48 divisors (see below), whose sum is σ = 194688. Its totient is φ = 14688.

The previous prime is 64879. The next prime is 64891. The reversal of 64890 is 9846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

2⁶⁴⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97344).

64890 is an abundant number, since it is smaller than the sum of its proper divisors (129798).

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

64890 is a wasteful number, since it uses less digits than its factorization.

64890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 64890 is about 254.7351565842. The cubic root of 64890 is about 40.1845637623.

The spelling of 64890 in words is "sixty-four thousand, eight hundred ninety".