668836272 has 160 divisors (see below), whose sum is σ = 1947375360. Its totient is φ = 196439040.

The previous prime is 668836261. The next prime is 668836279. The reversal of 668836272 is 272638866.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (668836279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1361947 + ... + 1362437.

It is an arithmetic number, because the mean of its divisors is an integer number (12171096).

Almost surely, 2^668836272 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 668836272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973687680).

668836272 is an abundant number, since it is smaller than the sum of its proper divisors (1278539088).

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

668836272 is a wasteful number, since it uses less digits than its factorization.

668836272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 668836272 is about 25861.8690739861. The cubic root of 668836272 is about 874.5271009819.

The spelling of 668836272 in words is "six hundred sixty-eight million, eight hundred thirty-six thousand, two hundred seventy-two".