966047544 has 432 divisors, whose sum is σ = 3500602560. Its totient is φ = 239500800.

The previous prime is 966047543. The next prime is 966047561. The reversal of 966047544 is 445740669.

966047544 is a `hidden beast` number, since 9 + 6 + 60 + 47 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 966047544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966047543) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13233492 + ... + 13233564.

Almost surely, 2^966047544 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 966047544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750301280).

966047544 is an abundant number, since it is smaller than the sum of its proper divisors (2534555016).

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

966047544 is a wasteful number, since it uses less digits than its factorization.

966047544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 966047544 is about 31081.3053779921. The cubic root of 966047544 is about 988.5519570984.

The spelling of 966047544 in words is "nine hundred sixty-six million, forty-seven thousand, five hundred forty-four".