1590 has 16 divisors (see below), whose sum is σ = 3888. Its totient is φ = 416.

The previous prime is 1583. The next prime is 1597. The reversal of 1590 is 951.

1590 is nontrivially palindromic in base 14 and base 16.

It is an interprime number because it is at equal distance from previous prime (1583) and next prime (1597).

It is a Harshad number since it is a multiple of its sum of digits (15).

1590 is an undulating number in base 14 and base 16.

It is a Curzon number.

It is a nialpdrome in base 7, base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 56.

It is an arithmetic number, because the mean of its divisors is an integer number (243).

2¹⁵⁹⁰ is an apocalyptic number.

1590 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 1590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944).

1590 is an abundant number, since it is smaller than the sum of its proper divisors (2298).

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

1590 is a wasteful number, since it uses less digits than its factorization.

1590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1590 is about 39.8748040748. The cubic root of 1590 is about 11.6716531972.

It can be divided in two parts, 15 and 90, that added together give a triangular number (105 = T₁₄).

The spelling of 1590 in words is "one thousand, five hundred ninety".