87736 has 16 divisors (see below), whose sum is σ = 179640. Its totient is φ = 39840.

The previous prime is 87721. The next prime is 87739. The reversal of 87736 is 63778.

It is a junction number, because it is equal to n+sod(n) for n = 87698 and 87707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 411 + ... + 586.

2⁸⁷⁷³⁶ is an apocalyptic number.

It is an amenable number.

87736 is an abundant number, since it is smaller than the sum of its proper divisors (91904).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89820).

87736 is a wasteful number, since it uses less digits than its factorization.

87736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1010 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 87736 is about 296.2026333441. The cubic root of 87736 is about 44.4350776557.

It can be divided in two parts, 8 and 7736, that added together give a square (7744 = 88²).

The spelling of 87736 in words is "eighty-seven thousand, seven hundred thirty-six".