610980 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 153088.

The previous prime is 610969. The next prime is 610993. The reversal of 610980 is 89016.

It is a self number, because there is not a number n which added to its sum of digits gives 610980.

It is an unprimeable number.

610980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁶¹⁰⁹⁸⁰ is an apocalyptic number.

610980 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 610980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

610980 is an abundant number, since it is smaller than the sum of its proper divisors (1203420).

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

610980 is a wasteful number, since it uses less digits than its factorization.

610980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 610980 is about 781.6520965238. The cubic root of 610980 is about 84.8546535661.

Adding to 610980 its reverse (89016), we get a palindrome (699996).

The spelling of 610980 in words is "six hundred ten thousand, nine hundred eighty".