966799680 has 672 divisors, whose sum is σ = 4086270720. Its totient is φ = 189235200.

The previous prime is 966799649. The next prime is 966799681. The reversal of 966799680 is 86997669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 (966799681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23580460 + ... + 23580500.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^966799680 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 966799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043135360).

966799680 is an abundant number, since it is smaller than the sum of its proper divisors (3119471040).

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

966799680 is a wasteful number, since it uses less digits than its factorization.

966799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The square root of 966799680 is about 31093.4025156463. The cubic root of 966799680 is about 988.8084429689.

The spelling of 966799680 in words is "nine hundred sixty-six million, seven hundred ninety-nine thousand, six hundred eighty".