86961636 has 36 divisors (see below), whose sum is σ = 221775372. Its totient is φ = 28729344.

The previous prime is 86961629. The next prime is 86961649. The reversal of 86961636 is 63616968.

86961636 is a `hidden beast` number, since 8 + 6 + 9 + 6 + 1 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3348900 + 83612736 = 1830^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×86961636² = 15124652271592992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86961591 and 86961600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6621 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (6160427).

Almost surely, 2^86961636 is an apocalyptic number.

It is an amenable number.

86961636 is an abundant number, since it is smaller than the sum of its proper divisors (134813736).

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

86961636 is a wasteful number, since it uses less digits than its factorization.

86961636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21500 (or 21495 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 86961636 is about 9325.3223000602. The cubic root of 86961636 is about 443.0396212866.

The spelling of 86961636 in words is "eighty-six million, nine hundred sixty-one thousand, six hundred thirty-six".