283684968 has 192 divisors, whose sum is σ = 923320320. Its totient is φ = 76982400.

The previous prime is 283684963. The next prime is 283685033. The reversal of 283684968 is 869486382.

It is a super-2 number, since 2×283684968² = 160954322138322048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (283684963) by changing a digit.

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, 1046673 + ... + 1046943.

It is an arithmetic number, because the mean of its divisors is an integer number (4808960).

Almost surely, 2^283684968 is an apocalyptic number.

283684968 is a gapful number since it is divisible by the number (28) 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 283684968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461660160).

283684968 is an abundant number, since it is smaller than the sum of its proper divisors (639635352).

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

283684968 is a wasteful number, since it uses less digits than its factorization.

283684968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 283684968 is about 16842.9500978896. The cubic root of 283684968 is about 657.0707095695.

The spelling of 283684968 in words is "two hundred eighty-three million, six hundred eighty-four thousand, nine hundred sixty-eight".