87633633906 has 96 divisors (see below), whose sum is σ = 235258732800. Its totient is φ = 22956988032.

The previous prime is 87633633883. The next prime is 87633633929. The reversal of 87633633906 is 60933633678.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87633633883) and next prime (87633633929).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64531 + ... + 423593.

It is an arithmetic number, because the mean of its divisors is an integer number (2450611800).

Almost surely, 2^87633633906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87633633906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117629366400).

87633633906 is an abundant number, since it is smaller than the sum of its proper divisors (147625098894).

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

87633633906 is a wasteful number, since it uses less digits than its factorization.

87633633906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359240 (or 359237 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 87633633906 in words is "eighty-seven billion, six hundred thirty-three million, six hundred thirty-three thousand, nine hundred six".