966521088 has 324 divisors, whose sum is σ = 3188666572. Its totient is φ = 279797760.

The previous prime is 966521053. The next prime is 966521093. The reversal of 966521088 is 880125669.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 888516864 = 8832^2 + 29808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15844578 + ... + 15844638.

Almost surely, 2^966521088 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 966521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594333286).

966521088 is an abundant number, since it is smaller than the sum of its proper divisors (2222145484).

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

966521088 is a wasteful number, since it uses less digits than its factorization.

966521088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 966521088 is about 31088.9222714458. The cubic root of 966521088 is about 988.7134558371.

The spelling of 966521088 in words is "nine hundred sixty-six million, five hundred twenty-one thousand, eighty-eight".