666696960 has 288 divisors, whose sum is σ = 2401781760. Its totient is φ = 175104000.

The previous prime is 666696931. The next prime is 666696977. The reversal of 666696960 is 69696666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 666696897 and 666696906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3490465 + ... + 3490655.

It is an arithmetic number, because the mean of its divisors is an integer number (8339520).

Almost surely, 2^666696960 is an apocalyptic number.

666696960 is a gapful number since it is divisible by the number (60) 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 666696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200890880).

666696960 is an abundant number, since it is smaller than the sum of its proper divisors (1735084800).

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

666696960 is a wasteful number, since it uses less digits than its factorization.

666696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 666696960 is about 25820.4755959297. The cubic root of 666696960 is about 873.5936963680.

The spelling of 666696960 in words is "six hundred sixty-six million, six hundred ninety-six thousand, nine hundred sixty".