610928640 has 288 divisors, whose sum is σ = 2422405440. Its totient is φ = 139493376.

The previous prime is 610928639. The next prime is 610928653. The reversal of 610928640 is 46829016.

610928640 is a `hidden beast` number, since 6 + 1 + 0 + 9 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 610928595 and 610928604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644647 + ... + 645593.

It is an arithmetic number, because the mean of its divisors is an integer number (8411130).

Almost surely, 2^610928640 is an apocalyptic number.

610928640 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 610928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211202720).

610928640 is an abundant number, since it is smaller than the sum of its proper divisors (1811476800).

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

610928640 is a wasteful number, since it uses less digits than its factorization.

610928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 610928640 is about 24716.9706881729. The cubic root of 610928640 is about 848.5227582485.

The spelling of 610928640 in words is "six hundred ten million, nine hundred twenty-eight thousand, six hundred forty".