966194880 has 112 divisors (see below), whose sum is σ = 3505931520. Its totient is φ = 220843008.

The previous prime is 966194869. The next prime is 966194891. The reversal of 966194880 is 88491669.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (966194869) and next prime (966194891).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×966194880² = 1867065092276428800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65170 + ... + 78609.

It is an arithmetic number, because the mean of its divisors is an integer number (31302960).

Almost surely, 2^966194880 is an apocalyptic number.

It is an amenable number.

966194880 is an abundant number, since it is smaller than the sum of its proper divisors (2539736640).

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

966194880 is a wasteful number, since it uses less digits than its factorization.

966194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143806 (or 143796 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 966194880 is about 31083.6754583495. The cubic root of 966194880 is about 988.6022106248.

The spelling of 966194880 in words is "nine hundred sixty-six million, one hundred ninety-four thousand, eight hundred eighty".