610638980 has 72 divisors (see below), whose sum is σ = 1579494168. Its totient is φ = 197041152.

The previous prime is 610638949. The next prime is 610638991. The reversal of 610638980 is 89836016.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101324356 + 509314624 = 10066^2 + 22568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667 + ... + 34986.

It is an arithmetic number, because the mean of its divisors is an integer number (21937419).

Almost surely, 2^610638980 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 610638980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789747084).

610638980 is an abundant number, since it is smaller than the sum of its proper divisors (968855188).

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

610638980 is a wasteful number, since it uses less digits than its factorization.

610638980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36693 (or 36684 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 610638980 is about 24711.1104566347. The cubic root of 610638980 is about 848.3886334966.

The spelling of 610638980 in words is "six hundred ten million, six hundred thirty-eight thousand, nine hundred eighty".