610948080 has 240 divisors, whose sum is σ = 2172718080. Its totient is φ = 153533952.

The previous prime is 610948069. The next prime is 610948081. The reversal of 610948080 is 80849016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610948081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308007 + ... + 1308473.

It is an arithmetic number, because the mean of its divisors is an integer number (9052992).

Almost surely, 2^610948080 is an apocalyptic number.

610948080 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 610948080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086359040).

610948080 is an abundant number, since it is smaller than the sum of its proper divisors (1561770000).

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

610948080 is a wasteful number, since it uses less digits than its factorization.

610948080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 610948080 is about 24717.3639371192. The cubic root of 610948080 is about 848.5317582671.

The spelling of 610948080 in words is "six hundred ten million, nine hundred forty-eight thousand, eighty".