1006590 has 64 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 236544.

The previous prime is 1006589. The next prime is 1006609. The reversal of 1006590 is 956001.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11266 + ... + 11354.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2^1006590 is an apocalyptic number.

1006590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

1006590 is an abundant number, since it is smaller than the sum of its proper divisors (1715010).

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

1006590 is a wasteful number, since it uses less digits than its factorization.

1006590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1006590 is about 1003.2895893011. The cubic root of 1006590 is about 100.2191858911.

It can be divided in two parts, 1006 and 590, that added together give a triangular number (1596 = T₅₆).

The spelling of 1006590 in words is "one million, six thousand, five hundred ninety".