963314016 has 48 divisors (see below), whose sum is σ = 2889944064. Its totient is φ = 275232384.

The previous prime is 963313999. The next prime is 963314111. The reversal of 963314016 is 610413369.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716080 + ... + 717423.

It is an arithmetic number, because the mean of its divisors is an integer number (60207168).

Almost surely, 2^963314016 is an apocalyptic number.

963314016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

963314016 is an abundant number, since it is smaller than the sum of its proper divisors (1926630048).

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

963314016 is a wasteful number, since it uses less digits than its factorization.

963314016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433523 (or 1433515 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 963314016 is about 31037.3003980694. The cubic root of 963314016 is about 987.6186741102.

The spelling of 963314016 in words is "nine hundred sixty-three million, three hundred fourteen thousand, sixteen".