8609639040 has 160 divisors (see below), whose sum is σ = 30746760660. Its totient is φ = 2295889920.

The previous prime is 8609638981. The next prime is 8609639041. The reversal of 8609639040 is 409369068.

8609639040 is a `hidden beast` number, since 8 + 6 + 0 + 9 + 639 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8374446144 + 235192896 = 91512^2 + 15336^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8609639041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31201 + ... + 134880.

Almost surely, 2^8609639040 is an apocalyptic number.

8609639040 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 8609639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15373380330).

8609639040 is an abundant number, since it is smaller than the sum of its proper divisors (22137121620).

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

8609639040 is a wasteful number, since it uses less digits than its factorization.

8609639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166112 (or 166091 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 8609639040 is about 92788.1406215256. The cubic root of 8609639040 is about 2049.5647729632.

The spelling of 8609639040 in words is "eight billion, six hundred nine million, six hundred thirty-nine thousand, forty".