963311072 has 48 divisors (see below), whose sum is σ = 1948683744. Its totient is φ = 468480000.

The previous prime is 963311053. The next prime is 963311099. The reversal of 963311072 is 270113369.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525197 + ... + 527027.

It is an arithmetic number, because the mean of its divisors is an integer number (40597578).

Almost surely, 2^963311072 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 963311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974341872).

963311072 is an abundant number, since it is smaller than the sum of its proper divisors (985372672).

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

963311072 is a wasteful number, since it uses less digits than its factorization.

963311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 963311072 is about 31037.2529712280. The cubic root of 963311072 is about 987.6176680166.

The spelling of 963311072 in words is "nine hundred sixty-three million, three hundred eleven thousand, seventy-two".