61884 has 30 divisors (see below), whose sum is σ = 162624. Its totient is φ = 20520.

The previous prime is 61879. The next prime is 61909. The reversal of 61884 is 48816.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

61884 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 9 ways as a sum of consecutive naturals, for example, 229 + ... + 419.

2⁶¹⁸⁸⁴ 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 61884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312).

61884 is an abundant number, since it is smaller than the sum of its proper divisors (100740).

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

61884 is a wasteful number, since it uses less digits than its factorization.

61884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 61884 is about 248.7649492995. The cubic root of 61884 is about 39.5542170616.

The spelling of 61884 in words is "sixty-one thousand, eight hundred eighty-four".