6746586 has 64 divisors (see below), whose sum is σ = 17832960. Its totient is φ = 1647360.

The previous prime is 6746581. The next prime is 6746599. The reversal of 6746586 is 6856476.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7425 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (278640).

Almost surely, 2^6746586 is an apocalyptic number.

6746586 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6746586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916480).

6746586 is an abundant number, since it is smaller than the sum of its proper divisors (11086374).

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

6746586 is a wasteful number, since it uses less digits than its factorization.

6746586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899.

The product of its digits is 241920, while the sum is 42.

The square root of 6746586 is about 2597.4191036489. The cubic root of 6746586 is about 188.9562901076.

It can be divided in two parts, 674 and 6586, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6746586 in words is "six million, seven hundred forty-six thousand, five hundred eighty-six".