959349216 has 192 divisors, whose sum is σ = 3052062720. Its totient is φ = 257748480.

The previous prime is 959349211. The next prime is 959349217. The reversal of 959349216 is 612943959.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 (959349211) 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 31 ways as a sum of consecutive naturals, for example, 2898171 + ... + 2898501.

It is an arithmetic number, because the mean of its divisors is an integer number (15896160).

Almost surely, 2^959349216 is an apocalyptic number.

959349216 is a gapful number since it is divisible by the number (96) 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 959349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526031360).

959349216 is an abundant number, since it is smaller than the sum of its proper divisors (2092713504).

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

959349216 is a wasteful number, since it uses less digits than its factorization.

959349216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 959349216 is about 30973.3630075909. The cubic root of 959349216 is about 986.2618666537.

The spelling of 959349216 in words is "nine hundred fifty-nine million, three hundred forty-nine thousand, two hundred sixteen".