966768400 has 60 divisors (see below), whose sum is σ = 2501340772. Its totient is φ = 356958720.

The previous prime is 966768377. The next prime is 966768409. The reversal of 966768400 is 4867669.

It can be written as a sum of positive squares in 6 ways, for example, as 140090896 + 826677504 = 11836^2 + 28752^2 .

It is a super-2 number, since 2×966768400² = 1869282278477120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (966768409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87759 + ... + 98158.

Almost surely, 2^966768400 is an apocalyptic number.

It is an amenable number.

966768400 is an abundant number, since it is smaller than the sum of its proper divisors (1534572372).

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

966768400 is a wasteful number, since it uses less digits than its factorization.

966768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185948 (or 185937 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 966768400 is about 31092.8995109816. The cubic root of 966768400 is about 988.7977788288.

The spelling of 966768400 in words is "nine hundred sixty-six million, seven hundred sixty-eight thousand, four hundred".