8981280 has 336 divisors, whose sum is σ = 39662784. Its totient is φ = 1866240.

The previous prime is 8981279. The next prime is 8981299. The reversal of 8981280 is 821898.

8981280 = 54³ + 55³ + ... + 81³.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 55 ways as a sum of consecutive naturals, for example, 816475 + ... + 816485.

It is an arithmetic number, because the mean of its divisors is an integer number (118044).

Almost surely, 2^8981280 is an apocalyptic number.

8981280 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 8981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831392).

8981280 is an abundant number, since it is smaller than the sum of its proper divisors (30681504).

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

8981280 is a wasteful number, since it uses less digits than its factorization.

8981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8981280 is about 2996.8783759105. The cubic root of 8981280 is about 207.8640630525.

It can be divided in two parts, 8981 and 280, that added together give a cube (9261 = 21³).

The spelling of 8981280 in words is "eight million, nine hundred eighty-one thousand, two hundred eighty".