61890 has 16 divisors (see below), whose sum is σ = 148608. Its totient is φ = 16496.

The previous prime is 61879. The next prime is 61909. The reversal of 61890 is 9816.

61890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 61890.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61890.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (9288).

2⁶¹⁸⁹⁰ is an apocalyptic number.

61890 is an abundant number, since it is smaller than the sum of its proper divisors (86718).

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 (74304).

61890 is a wasteful number, since it uses less digits than its factorization.

61890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 61890 is about 248.7770085840. Note that the first 3 decimals coincide. The cubic root of 61890 is about 39.5554953545. Note that the first 3 decimals are identical.

The spelling of 61890 in words is "sixty-one thousand, eight hundred ninety".