283877664 has 96 divisors (see below), whose sum is σ = 879169536. Its totient is φ = 78485760.

The previous prime is 283877641. The next prime is 283877669. The reversal of 283877664 is 466778382.

It is a tau number, because it is divible by the number of its divisors (96).

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 (283877669) 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 15 ways as a sum of consecutive naturals, for example, 14019 + ... + 27645.

It is an arithmetic number, because the mean of its divisors is an integer number (9158016).

Almost surely, 2^283877664 is an apocalyptic number.

283877664 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 283877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439584768).

283877664 is an abundant number, since it is smaller than the sum of its proper divisors (595291872).

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

283877664 is a wasteful number, since it uses less digits than its factorization.

283877664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13670 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 283877664 is about 16848.6695023672. The cubic root of 283877664 is about 657.2194499616.

The spelling of 283877664 in words is "two hundred eighty-three million, eight hundred seventy-seven thousand, six hundred sixty-four".