966054672 has 120 divisors (see below), whose sum is σ = 2999674080. Its totient is φ = 287754240.

The previous prime is 966054667. The next prime is 966054689. The reversal of 966054672 is 276450669.

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 23 ways as a sum of consecutive naturals, for example, 88288 + ... + 98624.

It is an arithmetic number, because the mean of its divisors is an integer number (24997284).

Almost surely, 2^966054672 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 966054672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499837040).

966054672 is an abundant number, since it is smaller than the sum of its proper divisors (2033619408).

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

966054672 is a wasteful number, since it uses less digits than its factorization.

966054672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 966054672 is about 31081.4200447792. The cubic root of 966054672 is about 988.5543884422.

The spelling of 966054672 in words is "nine hundred sixty-six million, fifty-four thousand, six hundred seventy-two".