7305984 has 144 divisors (see below), whose sum is σ = 24855040. Its totient is φ = 2073600.

The previous prime is 7305959. The next prime is 7305989. The reversal of 7305984 is 4895037.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×7305984³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7305989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48309 + ... + 48459.

Almost surely, 2^7305984 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 7305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427520).

7305984 is an abundant number, since it is smaller than the sum of its proper divisors (17549056).

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

7305984 is a wasteful number, since it uses less digits than its factorization.

7305984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7305984 is about 2702.9583792578. The cubic root of 7305984 is about 194.0407325815.

The spelling of 7305984 in words is "seven million, three hundred five thousand, nine hundred eighty-four".