5085024 has 144 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 1360128.

The previous prime is 5085019. The next prime is 5085049. The reversal of 5085024 is 4205805.

It is a Cunningham number, because it is equal to 2255²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5084985 and 5085003.

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 23 ways as a sum of consecutive naturals, for example, 108169 + ... + 108215.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 2^5085024 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 5085024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

5085024 is an abundant number, since it is smaller than the sum of its proper divisors (11462304).

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

5085024 is a wasteful number, since it uses less digits than its factorization.

5085024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5085024 is about 2254.9997782705. Note that the first 3 decimals coincide. The cubic root of 5085024 is about 171.9614119311.

The spelling of 5085024 in words is "five million, eighty-five thousand, twenty-four".