583673664 has 84 divisors (see below), whose sum is σ = 1767600224. Its totient is φ = 166510848.

The previous prime is 583673641. The next prime is 583673669. The reversal of 583673664 is 466376385.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (583673669) 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 11 ways as a sum of consecutive naturals, for example, 885367 + ... + 886025.

Almost surely, 2^583673664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 583673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883800112).

583673664 is an abundant number, since it is smaller than the sum of its proper divisors (1183926560).

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

583673664 is an frugal number, since it uses more digits than its factorization.

583673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 671 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 583673664 is about 24159.3390638072. The cubic root of 583673664 is about 835.7121174777.

The spelling of 583673664 in words is "five hundred eighty-three million, six hundred seventy-three thousand, six hundred sixty-four".