966698880 has 256 divisors, whose sum is σ = 3729576960. Its totient is φ = 207912960.

The previous prime is 966698879. The next prime is 966698881. The reversal of 966698880 is 88896669.

966698880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (966698879) and next prime (966698881).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966698881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226365 + ... + 230595.

It is an arithmetic number, because the mean of its divisors is an integer number (14568660).

Almost surely, 2^966698880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864788480).

966698880 is an abundant number, since it is smaller than the sum of its proper divisors (2762878080).

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

966698880 is a wasteful number, since it uses less digits than its factorization.

966698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The square root of 966698880 is about 31091.7815507571. The cubic root of 966698880 is about 988.7740768856.

The spelling of 966698880 in words is "nine hundred sixty-six million, six hundred ninety-eight thousand, eight hundred eighty".