281106960 has 80 divisors (see below), whose sum is σ = 873961920. Its totient is φ = 74744320.

The previous prime is 281106949. The next prime is 281106997. The reversal of 281106960 is 69601182.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×281106960² = 158042245920883200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91855 + ... + 94865.

It is an arithmetic number, because the mean of its divisors is an integer number (10924524).

Almost surely, 2^281106960 is an apocalyptic number.

281106960 is a gapful number since it is divisible by the number (20) 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 281106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436980960).

281106960 is an abundant number, since it is smaller than the sum of its proper divisors (592854960).

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

281106960 is a wasteful number, since it uses less digits than its factorization.

281106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 281106960 is about 16766.2446600305. The cubic root of 281106960 is about 655.0742568727.

The spelling of 281106960 in words is "two hundred eighty-one million, one hundred six thousand, nine hundred sixty".