590240 has 96 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 184320.

The previous prime is 590207. The next prime is 590243. The reversal of 590240 is 42095.

590240 = T₂₇₃ + T₂₇₄ + ... + T₂₈₇.

590240 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (590243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19025 + ... + 19055.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2⁵⁹⁰²⁴⁰ 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 590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

590240 is an abundant number, since it is smaller than the sum of its proper divisors (1151584).

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

590240 is a wasteful number, since it uses less digits than its factorization.

590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 590240 is about 768.2707855958. The cubic root of 590240 is about 83.8834362070.

The spelling of 590240 in words is "five hundred ninety thousand, two hundred forty".