87609618936 has 96 divisors (see below), whose sum is σ = 271954650240. Its totient is φ = 24959133504.

The previous prime is 87609618919. The next prime is 87609618937. The reversal of 87609618936 is 63981690678.

87609618936 is a `hidden beast` number, since 8 + 7 + 6 + 0 + 9 + 618 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×87609618936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87609618937) 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 23 ways as a sum of consecutive naturals, for example, 75586 + ... + 425361.

It is an arithmetic number, because the mean of its divisors is an integer number (2832860940).

Almost surely, 2^87609618936 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 87609618936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135977325120).

87609618936 is an abundant number, since it is smaller than the sum of its proper divisors (184345031304).

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

87609618936 is a wasteful number, since it uses less digits than its factorization.

87609618936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501313 (or 501306 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 87609618936 in words is "eighty-seven billion, six hundred nine million, six hundred eighteen thousand, nine hundred thirty-six".