966795264 has 280 divisors, whose sum is σ = 3044878848. Its totient is φ = 305233920.

The previous prime is 966795241. The next prime is 966795281. The reversal of 966795264 is 462597669.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 966795264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20570089 + ... + 20570135.

Almost surely, 2^966795264 is an apocalyptic number.

966795264 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522439424).

966795264 is an abundant number, since it is smaller than the sum of its proper divisors (2078083584).

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

966795264 is an equidigital number, since it uses as much as digits as its factorization.

966795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 966795264 is about 31093.3315037164. The cubic root of 966795264 is about 988.8069374572.

The spelling of 966795264 in words is "nine hundred sixty-six million, seven hundred ninety-five thousand, two hundred sixty-four".