965462016 has 192 divisors, whose sum is σ = 2748695040. Its totient is φ = 300810240.

The previous prime is 965461999. The next prime is 965462033. The reversal of 965462016 is 610264569.

It is an interprime number because it is at equal distance from previous prime (965461999) and next prime (965462033).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7047100 + ... + 7047236.

It is an arithmetic number, because the mean of its divisors is an integer number (14316120).

Almost surely, 2^965462016 is an apocalyptic number.

965462016 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 965462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374347520).

965462016 is an abundant number, since it is smaller than the sum of its proper divisors (1783233024).

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

965462016 is a wasteful number, since it uses less digits than its factorization.

965462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 965462016 is about 31071.8846547808. The cubic root of 965462016 is about 988.3521940410.

The spelling of 965462016 in words is "nine hundred sixty-five million, four hundred sixty-two thousand, sixteen".