283121664 has 192 divisors, whose sum is σ = 896313600. Its totient is φ = 77758464.

The previous prime is 283121647. The next prime is 283121719. The reversal of 283121664 is 466121382.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×283121664² = 160315753252257792, which contains 22 as substring.

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

Its product of digits (13824) is a multiple of the sum of its prime factors (288).

It is a congruent number.

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, 1247119 + ... + 1247345.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^283121664 is an apocalyptic number.

283121664 is a gapful number since it is divisible by the number (24) 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 283121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

283121664 is an abundant number, since it is smaller than the sum of its proper divisors (613191936).

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

283121664 is a wasteful number, since it uses less digits than its factorization.

283121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 283121664 is about 16826.2195397540. The cubic root of 283121664 is about 656.6355134227.

The spelling of 283121664 in words is "two hundred eighty-three million, one hundred twenty-one thousand, six hundred sixty-four".