966612480 has 160 divisors (see below), whose sum is σ = 3163083264. Its totient is φ = 251682816.

The previous prime is 966612473. The next prime is 966612497. The reversal of 966612480 is 84216669.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328777 + ... + 331703.

Almost surely, 2^966612480 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 966612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581541632).

966612480 is an abundant number, since it is smaller than the sum of its proper divisors (2196470784).

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

966612480 is a wasteful number, since it uses less digits than its factorization.

966612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 966612480 is about 31090.3920850156. The cubic root of 966612480 is about 988.7446183412.

The spelling of 966612480 in words is "nine hundred sixty-six million, six hundred twelve thousand, four hundred eighty".