5307984 has 80 divisors (see below), whose sum is σ = 16635840. Its totient is φ = 1607040.

The previous prime is 5307979. The next prime is 5308001. The reversal of 5307984 is 4897035.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4194 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (207948).

Almost surely, 2^5307984 is an apocalyptic number.

5307984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5307984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317920).

5307984 is an abundant number, since it is smaller than the sum of its proper divisors (11327856).

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

5307984 is a wasteful number, since it uses less digits than its factorization.

5307984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

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

The square root of 5307984 is about 2303.9062480926. The cubic root of 5307984 is about 174.4388446986.

The spelling of 5307984 in words is "five million, three hundred seven thousand, nine hundred eighty-four".