966087264 has 96 divisors (see below), whose sum is σ = 2624154624. Its totient is φ = 310993920.

The previous prime is 966087263. The next prime is 966087277. The reversal of 966087264 is 462780669.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966087263) by changing a digit.

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, 404217 + ... + 406599.

It is an arithmetic number, because the mean of its divisors is an integer number (27334944).

Almost surely, 2^966087264 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 966087264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312077312).

966087264 is an abundant number, since it is smaller than the sum of its proper divisors (1658067360).

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

966087264 is a wasteful number, since it uses less digits than its factorization.

966087264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 966087264 is about 31081.9443407262. The cubic root of 966087264 is about 988.5655053431.

The spelling of 966087264 in words is "nine hundred sixty-six million, eighty-seven thousand, two hundred sixty-four".