610930089 has 81 divisors (see below), whose sum is σ = 1138977021. Its totient is φ = 314400240.

The previous prime is 610930081. The next prime is 610930091. The reversal of 610930089 is 980039016.

The square root of 610930089 is 24717.

It is a perfect power (a square), and thus also a powerful number.

610930089 is a `hidden beast` number, since 610 + 9 + 30 + 0 + 8 + 9 = 666.

It is not a de Polignac number, because 610930089 - 2³ = 610930081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (610930081) 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 80 ways as a sum of consecutive naturals, for example, 5709574 + ... + 5709680.

Almost surely, 2^610930089 is an apocalyptic number.

610930089 is the 24717-th square number.

610930089 is the 12359-th centered octagonal number.

It is an amenable number.

610930089 is a deficient number, since it is larger than the sum of its proper divisors (528046932).

610930089 is a wasteful number, since it uses less digits than its factorization.

610930089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 610930089 is about 848.5234290898.

Multiplying 610930089 by its sum of digits (36), we get a square (21993483204 = 148302²).

Multiplying 610930089 by its product of nonzero digits (11664), we get a square (7125888558096 = 2669436²).

The spelling of 610930089 in words is "six hundred ten million, nine hundred thirty thousand, eighty-nine".