8728960 has 64 divisors (see below), whose sum is σ = 21811680. Its totient is φ = 3334144.

The previous prime is 8728943. The next prime is 8728963. The reversal of 8728960 is 698278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a d-powerful number, because it can be written as 8³ + 7³ + 2²³ + 8³ + 9⁵ + 6⁷ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8728963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14424 + ... + 15016.

Almost surely, 2^8728960 is an apocalyptic number.

8728960 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 8728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905840).

8728960 is an abundant number, since it is smaller than the sum of its proper divisors (13082720).

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

8728960 is a wasteful number, since it uses less digits than its factorization.

8728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 8728960 is about 2954.4813419617. The cubic root of 8728960 is about 205.8989670146.

The spelling of 8728960 in words is "eight million, seven hundred twenty-eight thousand, nine hundred sixty".