610481760 has 192 divisors, whose sum is σ = 2269016064. Its totient is φ = 135014400.

The previous prime is 610481749. The next prime is 610481777. The reversal of 610481760 is 67184016.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101230 + ... + 107090.

It is an arithmetic number, because the mean of its divisors is an integer number (11817792).

Almost surely, 2^610481760 is an apocalyptic number.

610481760 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 610481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134508032).

610481760 is an abundant number, since it is smaller than the sum of its proper divisors (1658534304).

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

610481760 is a wasteful number, since it uses less digits than its factorization.

610481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 610481760 is about 24707.9290916904. The cubic root of 610481760 is about 848.3158162705.

The spelling of 610481760 in words is "six hundred ten million, four hundred eighty-one thousand, seven hundred sixty".