963386320 has 80 divisors (see below), whose sum is σ = 2428750800. Its totient is φ = 353267712.

The previous prime is 963386297. The next prime is 963386323. The reversal of 963386320 is 23683369.

963386320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 120297024 + 843089296 = 10968^2 + 29036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×963386320² = 1856226403126284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963386323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151852 + ... + 158068.

It is an arithmetic number, because the mean of its divisors is an integer number (30359385).

Almost surely, 2^963386320 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 963386320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214375400).

963386320 is an abundant number, since it is smaller than the sum of its proper divisors (1465364480).

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

963386320 is a wasteful number, since it uses less digits than its factorization.

963386320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 963386320 is about 31038.4651682392. The cubic root of 963386320 is about 987.6433829081.

The spelling of 963386320 in words is "nine hundred sixty-three million, three hundred eighty-six thousand, three hundred twenty".