610320128 has 216 divisors, whose sum is σ = 1516934160. Its totient is φ = 243302400.

The previous prime is 610320127. The next prime is 610320133. The reversal of 610320128 is 821023016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610320127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10005218 + ... + 10005278.

Almost surely, 2^610320128 is an apocalyptic number.

610320128 is a gapful number since it is divisible by the number (68) 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 610320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758467080).

610320128 is an abundant number, since it is smaller than the sum of its proper divisors (906614032).

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

610320128 is a wasteful number, since it uses less digits than its factorization.

610320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 610320128 is about 24704.6580223245. The cubic root of 610320128 is about 848.2409425704.

The spelling of 610320128 in words is "six hundred ten million, three hundred twenty thousand, one hundred twenty-eight".