8872960 has 44 divisors (see below), whose sum is σ = 21296988. Its totient is φ = 3547136.

The previous prime is 8872957. The next prime is 8872967. The reversal of 8872960 is 692788.

It can be written as a sum of positive squares in 2 ways, for example, as 3564544 + 5308416 = 1888^2 + 2304^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8872967) 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 3 ways as a sum of consecutive naturals, for example, 4254 + ... + 5986.

Almost surely, 2^8872960 is an apocalyptic number.

8872960 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 8872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648494).

8872960 is an abundant number, since it is smaller than the sum of its proper divisors (12424028).

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

8872960 is a wasteful number, since it uses less digits than its factorization.

8872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1740 counting only the distinct ones).

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

The square root of 8872960 is about 2978.7514162817. The cubic root of 8872960 is about 207.0250228411.

The spelling of 8872960 in words is "eight million, eight hundred seventy-two thousand, nine hundred sixty".