610930656 has 144 divisors (see below), whose sum is σ = 2015604864. Its totient is φ = 171908352.

The previous prime is 610930637. The next prime is 610930657. The reversal of 610930656 is 656039016.

610930656 is a `hidden beast` number, since 610 + 9 + 30 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 610930656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610930657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132811 + ... + 137333.

It is an arithmetic number, because the mean of its divisors is an integer number (13997256).

Almost surely, 2^610930656 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 610930656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007802432).

610930656 is an abundant number, since it is smaller than the sum of its proper divisors (1404674208).

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

610930656 is a wasteful number, since it uses less digits than its factorization.

610930656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 610930656 is about 24717.0114698359. The cubic root of 610930656 is about 848.5236915926.

The spelling of 610930656 in words is "six hundred ten million, nine hundred thirty thousand, six hundred fifty-six".