88736 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 42688.

The previous prime is 88729. The next prime is 88741. The reversal of 88736 is 63788.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

88736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1475 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸⁸⁷³⁶ 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 88736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

88736 is an abundant number, since it is smaller than the sum of its proper divisors (92704).

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

88736 is a wasteful number, since it uses less digits than its factorization.

88736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 88736 is about 297.8858841906. The cubic root of 88736 is about 44.6032614398.

The spelling of 88736 in words is "eighty-eight thousand, seven hundred thirty-six".