9961604632 has 96 divisors (see below), whose sum is σ = 22626489600. Its totient is φ = 4025363328.

The previous prime is 9961604623. The next prime is 9961604633. The reversal of 9961604632 is 2364061699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961604633) 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 23 ways as a sum of consecutive naturals, for example, 2022669 + ... + 2027587.

It is an arithmetic number, because the mean of its divisors is an integer number (235692600).

Almost surely, 2^9961604632 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 9961604632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313244800).

9961604632 is an abundant number, since it is smaller than the sum of its proper divisors (12664884968).

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

9961604632 is a wasteful number, since it uses less digits than its factorization.

9961604632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 9961604632 is about 99807.8385298469. The cubic root of 9961604632 is about 2151.6738097522.

The spelling of 9961604632 in words is "nine billion, nine hundred sixty-one million, six hundred four thousand, six hundred thirty-two".