966301336 has 128 divisors (see below), whose sum is σ = 2470325760. Its totient is φ = 342144000.

The previous prime is 966301333. The next prime is 966301339. The reversal of 966301336 is 633103669.

It is an interprime number because it is at equal distance from previous prime (966301333) and next prime (966301339).

It is a junction number, because it is equal to n+sod(n) for n = 966301295 and 966301304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966301333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535636 + ... + 537436.

It is an arithmetic number, because the mean of its divisors is an integer number (19299420).

Almost surely, 2^966301336 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 966301336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235162880).

966301336 is an abundant number, since it is smaller than the sum of its proper divisors (1504024424).

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

966301336 is a wasteful number, since it uses less digits than its factorization.

966301336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 37.

The square root of 966301336 is about 31085.3878212899. The cubic root of 966301336 is about 988.6385175763.

The spelling of 966301336 in words is "nine hundred sixty-six million, three hundred one thousand, three hundred thirty-six".