5785506 has 40 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 1897560.

The previous prime is 5785501. The next prime is 5785511. The reversal of 5785506 is 6055875.

It is an interprime number because it is at equal distance from previous prime (5785501) and next prime (5785511).

It is not an unprimeable number, because it can be changed into a prime (5785501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11251 + ... + 11753.

Almost surely, 2^5785506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

5785506 is an abundant number, since it is smaller than the sum of its proper divisors (7387038).

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

5785506 is a wasteful number, since it uses less digits than its factorization.

5785506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

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

The square root of 5785506 is about 2405.3078805010. The cubic root of 5785506 is about 179.5203898802.

It can be divided in two parts, 578 and 5506, that added together give a square (6084 = 78²).

The spelling of 5785506 in words is "five million, seven hundred eighty-five thousand, five hundred six".