963006720 has 288 divisors, whose sum is σ = 3362494464. Its totient is φ = 233472000.

The previous prime is 963006719. The next prime is 963006721. The reversal of 963006720 is 27600369.

It is an interprime number because it is at equal distance from previous prime (963006719) and next prime (963006721).

It is not an unprimeable number, because it can be changed into a prime (963006721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5041825 + ... + 5042015.

It is an arithmetic number, because the mean of its divisors is an integer number (11675328).

Almost surely, 2^963006720 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 963006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681247232).

963006720 is an abundant number, since it is smaller than the sum of its proper divisors (2399487744).

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

963006720 is a wasteful number, since it uses less digits than its factorization.

963006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 963006720 is about 31032.3495726637. The cubic root of 963006720 is about 987.5136465561.

The spelling of 963006720 in words is "nine hundred sixty-three million, six thousand, seven hundred twenty".