966926208 has 128 divisors (see below), whose sum is σ = 2714342400. Its totient is φ = 304496640.

The previous prime is 966926203. The next prime is 966926243. The reversal of 966926208 is 802629669.

It is a tau number, because it is divible by the number of its divisors (128).

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 (966926203) 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, 510928 + ... + 512816.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2^966926208 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 966926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

966926208 is an abundant number, since it is smaller than the sum of its proper divisors (1747416192).

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

966926208 is a wasteful number, since it uses less digits than its factorization.

966926208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 966926208 is about 31095.4370929241. The cubic root of 966926208 is about 988.8515772051.

The spelling of 966926208 in words is "nine hundred sixty-six million, nine hundred twenty-six thousand, two hundred eight".