666957312 has 480 divisors, whose sum is σ = 2451271680. Its totient is φ = 170311680.

The previous prime is 666957271. The next prime is 666957359. The reversal of 666957312 is 213759666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21514737 + ... + 21514767.

It is an arithmetic number, because the mean of its divisors is an integer number (5106816).

Almost surely, 2^666957312 is an apocalyptic number.

666957312 is a gapful number since it is divisible by the number (62) 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 666957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225635840).

666957312 is an abundant number, since it is smaller than the sum of its proper divisors (1784314368).

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

666957312 is a wasteful number, since it uses less digits than its factorization.

666957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 666957312 is about 25825.5166840859. The cubic root of 666957312 is about 873.7073973346.

The spelling of 666957312 in words is "six hundred sixty-six million, nine hundred fifty-seven thousand, three hundred twelve".