61584 has 20 divisors (see below), whose sum is σ = 159216. Its totient is φ = 20512.

The previous prime is 61583. The next prime is 61603. The reversal of 61584 is 48516.

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

It is not an unprimeable number, because it can be changed into a prime (61583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594 + ... + 689.

2⁶¹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

61584 is an abundant number, since it is smaller than the sum of its proper divisors (97632).

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 (79608).

61584 is a wasteful number, since it uses less digits than its factorization.

61584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 61584 is about 248.1612379079. The cubic root of 61584 is about 39.4901967874.

The spelling of 61584 in words is "sixty-one thousand, five hundred eighty-four".