659040 has 48 divisors (see below), whose sum is σ = 2077488. Its totient is φ = 175616.

The previous prime is 659023. The next prime is 659047. The reversal of 659040 is 40956.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 659040.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 659040.

It is not an unprimeable number, because it can be changed into a prime (659047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (43281).

2⁶⁵⁹⁰⁴⁰ is an apocalyptic number.

659040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038744).

659040 is an abundant number, since it is smaller than the sum of its proper divisors (1418448).

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

659040 is a wasteful number, since it uses less digits than its factorization.

659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 659040 is about 811.8127862999. The cubic root of 659040 is about 87.0236426694.

Adding to 659040 its reverse (40956), we get a palindrome (699996).

The spelling of 659040 in words is "six hundred fifty-nine thousand, forty".