610560 has 108 divisors (see below), whose sum is σ = 2152332. Its totient is φ = 159744.

The previous prime is 610559. The next prime is 610567. The reversal of 610560 is 65016.

610560 is a `hidden beast` number, since 610 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 278784 = 576^2 + 528^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610567) 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 11 ways as a sum of consecutive naturals, for example, 11494 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (19929).

2⁶¹⁰⁵⁶⁰ is an apocalyptic number.

610560 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 610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076166).

610560 is an abundant number, since it is smaller than the sum of its proper divisors (1541772).

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

610560 is a wasteful number, since it uses less digits than its factorization.

610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 610560 is about 781.3833886128. The cubic root of 610560 is about 84.8352055079.

Adding to 610560 its reverse (65016), we get a palindrome (675576).

The spelling of 610560 in words is "six hundred ten thousand, five hundred sixty".