283196880 has 180 divisors, whose sum is σ = 1011048012. Its totient is φ = 71024640.

The previous prime is 283196869. The next prime is 283196887. The reversal of 283196880 is 88691382.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 282643344 = 744^2 + 16812^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (283196887) 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 35 ways as a sum of consecutive naturals, for example, 207400 + ... + 208760.

Almost surely, 2^283196880 is an apocalyptic number.

283196880 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 283196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505524006).

283196880 is an abundant number, since it is smaller than the sum of its proper divisors (727851132).

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

283196880 is a wasteful number, since it uses less digits than its factorization.

283196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1388 counting only the distinct ones).

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

The square root of 283196880 is about 16828.4544744905. The cubic root of 283196880 is about 656.6936570054.

The spelling of 283196880 in words is "two hundred eighty-three million, one hundred ninety-six thousand, eight hundred eighty".