963630360 has 192 divisors, whose sum is σ = 3904692480. Its totient is φ = 200229120.

The previous prime is 963630347. The next prime is 963630373. The reversal of 963630360 is 63036369.

It is an interprime number because it is at equal distance from previous prime (963630347) and next prime (963630373).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 10339 + ... + 45101.

It is an arithmetic number, because the mean of its divisors is an integer number (20336940).

Almost surely, 2^963630360 is an apocalyptic number.

963630360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963630360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952346240).

963630360 is an abundant number, since it is smaller than the sum of its proper divisors (2941062120).

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

963630360 is a wasteful number, since it uses less digits than its factorization.

963630360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34798 (or 34791 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 963630360 is about 31042.3961703990. The cubic root of 963630360 is about 987.7267707583.

The spelling of 963630360 in words is "nine hundred sixty-three million, six hundred thirty thousand, three hundred sixty".