87609636 has 144 divisors (see below), whose sum is σ = 248727024. Its totient is φ = 25878528.

The previous prime is 87609629. The next prime is 87609647. The reversal of 87609636 is 63690678.

87609636 is a `hidden beast` number, since 8 + 7 + 6 + 0 + 9 + 636 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21902400 + 65707236 = 4680^2 + 8106^2 .

87609636 is a modest number, since divided by 9636 gives 8760 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 87609591 and 87609600.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1200096 + ... + 1200168.

It is an arithmetic number, because the mean of its divisors is an integer number (1727271).

Almost surely, 2^87609636 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 87609636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124363512).

87609636 is an abundant number, since it is smaller than the sum of its proper divisors (161117388).

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

87609636 is a wasteful number, since it uses less digits than its factorization.

87609636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 87609636 is about 9360.0019230767. The cubic root of 87609636 is about 444.1373448974.

It can be divided in two parts, 876096 and 36, that multiplied together give a square (31539456 = 5616²).

The spelling of 87609636 in words is "eighty-seven million, six hundred nine thousand, six hundred thirty-six".