668583936 has 192 divisors, whose sum is σ = 2016705600. Its totient is φ = 218824704.

The previous prime is 668583917. The next prime is 668583961. The reversal of 668583936 is 639385866.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5916616 + ... + 5916728.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2^668583936 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 668583936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008352800).

668583936 is an abundant number, since it is smaller than the sum of its proper divisors (1348121664).

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

668583936 is a wasteful number, since it uses less digits than its factorization.

668583936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 668583936 is about 25856.9900800538. The cubic root of 668583936 is about 874.4171077308.

The spelling of 668583936 in words is "six hundred sixty-eight million, five hundred eighty-three thousand, nine hundred thirty-six".