5084856 has 160 divisors (see below), whose sum is σ = 17424000. Its totient is φ = 1353024.

The previous prime is 5084851. The next prime is 5084867. The reversal of 5084856 is 6584805.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5084856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86155 + ... + 86213.

It is an arithmetic number, because the mean of its divisors is an integer number (108900).

Almost surely, 2^5084856 is an apocalyptic number.

5084856 is a gapful number since it is divisible by the number (56) 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 5084856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712000).

5084856 is an abundant number, since it is smaller than the sum of its proper divisors (12339144).

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

5084856 is a wasteful number, since it uses less digits than its factorization.

5084856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5084856 is about 2254.9625274048. The cubic root of 5084856 is about 171.9595181456.

5084856 divided by its sum of digits (36) gives a triangular number (141246 = T₅₃₁).

The spelling of 5084856 in words is "five million, eighty-four thousand, eight hundred fifty-six".