963997632 has 168 divisors, whose sum is σ = 3069671280. Its totient is φ = 296524800.

The previous prime is 963997571. The next prime is 963997649. The reversal of 963997632 is 236799369.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

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 23 ways as a sum of consecutive naturals, for example, 290382 + ... + 293682.

Almost surely, 2^963997632 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 963997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534835640).

963997632 is an abundant number, since it is smaller than the sum of its proper divisors (2105673648).

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

963997632 is a wasteful number, since it uses less digits than its factorization.

963997632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3319 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The square root of 963997632 is about 31048.3112584243. The cubic root of 963997632 is about 987.8522401375.

It can be divided in two parts, 9 and 63997632, that added together give a triangular number (63997641 = T₁₁₃₁₃).

The spelling of 963997632 in words is "nine hundred sixty-three million, nine hundred ninety-seven thousand, six hundred thirty-two".