610438864 has 60 divisors (see below), whose sum is σ = 1423318500. Its totient is φ = 252585984.

The previous prime is 610438861. The next prime is 610438903. The reversal of 610438864 is 468834016.

It can be written as a sum of positive squares in 2 ways, for example, as 241491600 + 368947264 = 15540^2 + 19208^2 .

It is a super-2 number, since 2×610438864² = 745271213363220992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610438861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9312 + ... + 36160.

It is an arithmetic number, because the mean of its divisors is an integer number (23721975).

Almost surely, 2^610438864 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 610438864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711659250).

610438864 is an abundant number, since it is smaller than the sum of its proper divisors (812879636).

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

610438864 is a wasteful number, since it uses less digits than its factorization.

610438864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26900 (or 26887 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 610438864 is about 24707.0610150216. The cubic root of 610438864 is about 848.2959466036.

The spelling of 610438864 in words is "six hundred ten million, four hundred thirty-eight thousand, eight hundred sixty-four".