966664400 has 60 divisors (see below), whose sum is σ = 2501071692. Its totient is φ = 356920320.

The previous prime is 966664379. The next prime is 966664441. The reversal of 966664400 is 4466669.

It can be written as a sum of positive squares in 6 ways, for example, as 187361344 + 779303056 = 13688^2 + 27916^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87749 + ... + 98148.

Almost surely, 2^966664400 is an apocalyptic number.

It is an amenable number.

966664400 is an abundant number, since it is smaller than the sum of its proper divisors (1534407292).

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

966664400 is a wasteful number, since it uses less digits than its factorization.

966664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185928 (or 185917 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 966664400 is about 31091.2270584485. The cubic root of 966664400 is about 988.7623209547.

The spelling of 966664400 in words is "nine hundred sixty-six million, six hundred sixty-four thousand, four hundred".