87609111408 has 600 divisors, whose sum is σ = 322890521184. Its totient is φ = 22331427840.

The previous prime is 87609111407. The next prime is 87609111419. The reversal of 87609111408 is 80411190678.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87609111407) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 113336110 + ... + 113336882.

Almost surely, 2^87609111408 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 87609111408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161445260592).

87609111408 is an abundant number, since it is smaller than the sum of its proper divisors (235281409776).

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

87609111408 is a wasteful number, since it uses less digits than its factorization.

87609111408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 87609111408 in words is "eighty-seven billion, six hundred nine million, one hundred eleven thousand, four hundred eight".