966521280 has 224 divisors, whose sum is σ = 3209544000. Its totient is φ = 246120448.

The previous prime is 966521261. The next prime is 966521327. The reversal of 966521280 is 82125669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4148044 + ... + 4148276.

Almost surely, 2^966521280 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 966521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604772000).

966521280 is an abundant number, since it is smaller than the sum of its proper divisors (2243022720).

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

966521280 is a wasteful number, since it uses less digits than its factorization.

966521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 966521280 is about 31088.9253593623. The cubic root of 966521280 is about 988.7135213066.

The spelling of 966521280 in words is "nine hundred sixty-six million, five hundred twenty-one thousand, two hundred eighty".