284160880 has 80 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 109117440.

The previous prime is 284160871. The next prime is 284160893. The reversal of 284160880 is 88061482.

284160880 is a nontrivial binomial coefficient, being equal to C(23840, 2).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369136 + ... + 369904.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^284160880 is an apocalyptic number.

284160880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

284160880 is the 23839-th triangular number and also the 11920-th hexagonal number.

284160880 is the 7947-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284160880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728000).

284160880 is an abundant number, since it is smaller than the sum of its proper divisors (403295120).

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

284160880 is a wasteful number, since it uses less digits than its factorization.

284160880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 284160880 is about 16857.0721063891. The cubic root of 284160880 is about 657.4379398503.

The spelling of 284160880 in words is "two hundred eighty-four million, one hundred sixty thousand, eight hundred eighty".