281983680 has 560 divisors, whose sum is σ = 1168383744. Its totient is φ = 63866880.

The previous prime is 281983679. The next prime is 281983687. The reversal of 281983680 is 86389182.

281983680 is a `hidden beast` number, since 281 + 9 + 8 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281983687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6557739 + ... + 6557781.

Almost surely, 2^281983680 is an apocalyptic number.

281983680 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 281983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584191872).

281983680 is an abundant number, since it is smaller than the sum of its proper divisors (886400064).

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

281983680 is a wasteful number, since it uses less digits than its factorization.

281983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 281983680 is about 16792.3696957874. The cubic root of 281983680 is about 655.7545681117.

It can be divided in two parts, 28198 and 3680, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 281983680 in words is "two hundred eighty-one million, nine hundred eighty-three thousand, six hundred eighty".