5127984 has 60 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 1690752.

The previous prime is 5127977. The next prime is 5128007. The reversal of 5127984 is 4897215.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21337 + ... + 21575.

It is an arithmetic number, because the mean of its divisors is an integer number (241800).

Almost surely, 2^5127984 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 5127984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

5127984 is an abundant number, since it is smaller than the sum of its proper divisors (9380016).

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

5127984 is a wasteful number, since it uses less digits than its factorization.

5127984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5127984 is about 2264.5052439771. The cubic root of 5127984 is about 172.4443172513. Note that the first 3 decimals are identical.

The spelling of 5127984 in words is "five million, one hundred twenty-seven thousand, nine hundred eighty-four".