966089800 has 48 divisors (see below), whose sum is σ = 2418946740. Its totient is φ = 356709120.

The previous prime is 966089767. The next prime is 966089801. The reversal of 966089800 is 8980669.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 259274404 + 706815396 = 16102^2 + 26586^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (966089801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183187 + ... + 188386.

Almost surely, 2^966089800 is an apocalyptic number.

It is an amenable number.

966089800 is an abundant number, since it is smaller than the sum of its proper divisors (1452856940).

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

966089800 is a wasteful number, since it uses less digits than its factorization.

966089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371602 (or 371593 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 966089800 is about 31081.9851360881. The cubic root of 966089800 is about 988.5663703443.

The spelling of 966089800 in words is "nine hundred sixty-six million, eighty-nine thousand, eight hundred".