81282960 has 240 divisors, whose sum is σ = 308730240. Its totient is φ = 19641600.

The previous prime is 81282917. The next prime is 81282997. The reversal of 81282960 is 6928218.

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261205 + ... + 261515.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^81282960 is an apocalyptic number.

81282960 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 81282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

81282960 is an abundant number, since it is smaller than the sum of its proper divisors (227447280).

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

81282960 is a wasteful number, since it uses less digits than its factorization.

81282960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 81282960 is about 9015.7062951274. The cubic root of 81282960 is about 433.1781114008.

The spelling of 81282960 in words is "eighty-one million, two hundred eighty-two thousand, nine hundred sixty".