5085576 has 96 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1558656.

The previous prime is 5085571. The next prime is 5085583. The reversal of 5085576 is 6755805.

5085576 is a `hidden beast` number, since 5 + 0 + 85 + 576 = 666.

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 5085576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61231 + ... + 61313.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^5085576 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 5085576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5085576 is an abundant number, since it is smaller than the sum of its proper divisors (9852984).

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

5085576 is a wasteful number, since it uses less digits than its factorization.

5085576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5085576 is about 2255.1221696396. The cubic root of 5085576 is about 171.9676340758.

It can be divided in two parts, 508 and 5576, that added together give a square (6084 = 78²).

The spelling of 5085576 in words is "five million, eighty-five thousand, five hundred seventy-six".