5625984 has 192 divisors, whose sum is σ = 19535040. Its totient is φ = 1419264.

The previous prime is 5625967. The next prime is 5626001. The reversal of 5625984 is 4895265.

It is an interprime number because it is at equal distance from previous prime (5625967) and next prime (5626001).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (86400) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244597 + ... + 244619.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 2^5625984 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 5625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767520).

5625984 is an abundant number, since it is smaller than the sum of its proper divisors (13909056).

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

5625984 is a wasteful number, since it uses less digits than its factorization.

5625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 5625984 is about 2371.9156814693. The cubic root of 5625984 is about 177.8550349399.

The spelling of 5625984 in words is "five million, six hundred twenty-five thousand, nine hundred eighty-four".