8610144960 has 112 divisors (see below), whose sum is σ = 27608186592. Its totient is φ = 2273280000.

The previous prime is 8610144923. The next prime is 8610145007. The reversal of 8610144960 is 694410168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52560 + ... + 141360.

It is an arithmetic number, because the mean of its divisors is an integer number (246501666).

Almost surely, 2^8610144960 is an apocalyptic number.

8610144960 is a gapful number since it is divisible by the number (80) 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 8610144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804093296).

8610144960 is an abundant number, since it is smaller than the sum of its proper divisors (18998041632).

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

8610144960 is a wasteful number, since it uses less digits than its factorization.

8610144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88922 (or 88912 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8610144960 is about 92790.8667919424. The cubic root of 8610144960 is about 2049.6049177163.

The spelling of 8610144960 in words is "eight billion, six hundred ten million, one hundred forty-four thousand, nine hundred sixty".