963145920 has 224 divisors, whose sum is σ = 3359139840. Its totient is φ = 231874560.

The previous prime is 963145919. The next prime is 963145921. The reversal of 963145920 is 29541369.

It is an interprime number because it is at equal distance from previous prime (963145919) and next prime (963145921).

It is not an unprimeable number, because it can be changed into a prime (963145921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354676 + ... + 2355084.

It is an arithmetic number, because the mean of its divisors is an integer number (14996160).

Almost surely, 2^963145920 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 963145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679569920).

963145920 is an abundant number, since it is smaller than the sum of its proper divisors (2395993920).

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

963145920 is a wasteful number, since it uses less digits than its factorization.

963145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 963145920 is about 31034.5923124503. The cubic root of 963145920 is about 987.5612250669.

The spelling of 963145920 in words is "nine hundred sixty-three million, one hundred forty-five thousand, nine hundred twenty".