610646016 has 96 divisors (see below), whose sum is σ = 1714003200. Its totient is φ = 192798720.

The previous prime is 610646009. The next prime is 610646059.

610646016 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114121 + ... + 119351.

It is an arithmetic number, because the mean of its divisors is an integer number (17854200).

Almost surely, 2^610646016 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 610646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857001600).

610646016 is an abundant number, since it is smaller than the sum of its proper divisors (1103357184).

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

610646016 is a wasteful number, since it uses less digits than its factorization.

610646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 610646016 is about 24711.2528213363. The cubic root of 610646016 is about 848.3918919628.

The spelling of 610646016 in words is "six hundred ten million, six hundred forty-six thousand, sixteen".