78588 has 36 divisors (see below), whose sum is σ = 207480. Its totient is φ = 25056.

The previous prime is 78583. The next prime is 78593. The reversal of 78588 is 88587.

78588 is a `hidden beast` number, since 78 + 588 = 666.

It is an interprime number because it is at equal distance from previous prime (78583) and next prime (78593).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78583) by changing a digit.

78588 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 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 1361.

2⁷⁸⁵⁸⁸ 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 78588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103740).

78588 is an abundant number, since it is smaller than the sum of its proper divisors (128892).

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

78588 is a wasteful number, since it uses less digits than its factorization.

78588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 78588 is about 280.3355132694. The cubic root of 78588 is about 42.8336823979.

Subtracting 78588 from its reverse (88587), we obtain a palindrome (9999).

It can be divided in two parts, 78 and 588, that added together give a palindrome (666).

The spelling of 78588 in words is "seventy-eight thousand, five hundred eighty-eight".