5189184 has 280 divisors, whose sum is σ = 20653248. Its totient is φ = 1244160.

The previous prime is 5189167. The next prime is 5189201. The reversal of 5189184 is 4819815.

5189184 = 5³ + 6³ + ... + 67³.

It is an interprime number because it is at equal distance from previous prime (5189167) and next prime (5189201).

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

Its product of digits (11520) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399162 + ... + 399174.

Almost surely, 2^5189184 is an apocalyptic number.

5189184 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 5189184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326624).

5189184 is an abundant number, since it is smaller than the sum of its proper divisors (15464064).

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

5189184 is a wasteful number, since it uses less digits than its factorization.

5189184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 5189184 is about 2277.9780508161. The cubic root of 5189184 is about 173.1276192004.

The spelling of 5189184 in words is "five million, one hundred eighty-nine thousand, one hundred eighty-four".