8736960 has 112 divisors (see below), whose sum is σ = 29260800. Its totient is φ = 2202624.

The previous prime is 8736943. The next prime is 8736989. The reversal of 8736960 is 696378.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18001 + ... + 18479.

Almost surely, 2^8736960 is an apocalyptic number.

8736960 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 8736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630400).

8736960 is an abundant number, since it is smaller than the sum of its proper divisors (20523840).

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

8736960 is a wasteful number, since it uses less digits than its factorization.

8736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 8736960 is about 2955.8349074331. The cubic root of 8736960 is about 205.9618492205.

It can be divided in two parts, 8736 and 960, that multiplied together give a triangular number (8386560 = T₄₀₉₅).

The spelling of 8736960 in words is "eight million, seven hundred thirty-six thousand, nine hundred sixty".