8744060160 has 1080 divisors, whose sum is σ = 37301900328. Its totient is φ = 1946419200.

The previous prime is 8744060107. The next prime is 8744060161. The reversal of 8744060160 is 610604478.

8744060160 is a `hidden beast` number, since 8 + 7 + 4 + 40 + 601 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303595776 + 8440464384 = 17424^2 + 91872^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8744060161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 213269740 + ... + 213269780.

Almost surely, 2^8744060160 is an apocalyptic number.

8744060160 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 8744060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650950164).

8744060160 is an abundant number, since it is smaller than the sum of its proper divisors (28557840168).

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

8744060160 is a wasteful number, since it uses less digits than its factorization.

8744060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8744060160 is about 93509.6794989695. The cubic root of 8744060160 is about 2060.1762629207.

The spelling of 8744060160 in words is "eight billion, seven hundred forty-four million, sixty thousand, one hundred sixty".