966378252 has 192 divisors, whose sum is σ = 2807562240. Its totient is φ = 252806400.

The previous prime is 966378251. The next prime is 966378253. The reversal of 966378252 is 252873669.

It is an interprime number because it is at equal distance from previous prime (966378251) and next prime (966378253).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (966378251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5059477 + ... + 5059667.

It is an arithmetic number, because the mean of its divisors is an integer number (14622720).

Almost surely, 2^966378252 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 966378252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403781120).

966378252 is an abundant number, since it is smaller than the sum of its proper divisors (1841183988).

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

966378252 is a wasteful number, since it uses less digits than its factorization.

966378252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 966378252 is about 31086.6249695910. The cubic root of 966378252 is about 988.6647482147.

The spelling of 966378252 in words is "nine hundred sixty-six million, three hundred seventy-eight thousand, two hundred fifty-two".