87563736 has 96 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 25353216.

The previous prime is 87563717. The next prime is 87563797. The reversal of 87563736 is 63736578.

87563736 is a `hidden beast` number, since 8 + 7 + 5 + 637 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87563691 and 87563700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13161 + ... + 18663.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 2^87563736 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 87563736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

87563736 is an abundant number, since it is smaller than the sum of its proper divisors (182902824).

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

87563736 is a wasteful number, since it uses less digits than its factorization.

87563736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5538 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 87563736 is about 9357.5496792697. The cubic root of 87563736 is about 444.0597679463.

The spelling of 87563736 in words is "eighty-seven million, five hundred sixty-three thousand, seven hundred thirty-six".