88784 has 20 divisors (see below), whose sum is σ = 178560. Its totient is φ = 42720.

The previous prime is 88771. The next prime is 88789. The reversal of 88784 is 48788.

88784 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88784.

It is not an unprimeable number, because it can be changed into a prime (88789) by changing a digit.

88784 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2⁸⁸⁷⁸⁴ 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 88784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

88784 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

88784 is a wasteful number, since it uses less digits than its factorization.

88784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 88784 is about 297.9664410634. The cubic root of 88784 is about 44.6113024101.

The spelling of 88784 in words is "eighty-eight thousand, seven hundred eighty-four".