610680 has 64 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 139392.

The previous prime is 610667. The next prime is 610681. The reversal of 610680 is 86016.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁶¹⁰⁶⁸⁰ is an apocalyptic number.

610680 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 610680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

610680 is an abundant number, since it is smaller than the sum of its proper divisors (1485960).

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

610680 is a wasteful number, since it uses less digits than its factorization.

610680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 610680 is about 781.4601717298. The cubic root of 610680 is about 84.8407630058.

Adding to 610680 its reverse (86016), we get a palindrome (696696).

The spelling of 610680 in words is "six hundred ten thousand, six hundred eighty".