4561984 has 56 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1837056.

The previous prime is 4561979. The next prime is 4561993. The reversal of 4561984 is 4891654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 7317 + ... + 7915.

Almost surely, 2^4561984 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 4561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

4561984 is an abundant number, since it is smaller than the sum of its proper divisors (6410816).

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

4561984 is a wasteful number, since it uses less digits than its factorization.

4561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 4561984 is about 2135.8801464502. The cubic root of 4561984 is about 165.8509330973.

The spelling of 4561984 in words is "four million, five hundred sixty-one thousand, nine hundred eighty-four".