610640 has 40 divisors (see below), whose sum is σ = 1506600. Its totient is φ = 229376.

The previous prime is 610639. The next prime is 610651. The reversal of 610640 is 46016.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 456976 = 392^2 + 676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

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 610640.

It is an unprimeable number.

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, 1136 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (37665).

2⁶¹⁰⁶⁴⁰ 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 610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753300).

610640 is an abundant number, since it is smaller than the sum of its proper divisors (895960).

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

610640 is a wasteful number, since it uses less digits than its factorization.

610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 610640 is about 781.4345781958. The cubic root of 610640 is about 84.8389105874.

Adding to 610640 its reverse (46016), we get a palindrome (656656).

The spelling of 610640 in words is "six hundred ten thousand, six hundred forty".