36888 has 32 divisors (see below), whose sum is σ = 97200. Its totient is φ = 11648.

The previous prime is 36887. The next prime is 36899. The reversal of 36888 is 88863.

Added to its reverse (88863) it gives a triangular number (125751 = T₅₀₁).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670 + ... + 722.

2³⁶⁸⁸⁸ 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 36888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600).

36888 is an abundant number, since it is smaller than the sum of its proper divisors (60312).

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

36888 is a wasteful number, since it uses less digits than its factorization.

36888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 36888 is about 192.0624898308. The cubic root of 36888 is about 33.2885621153.

Subtracting from 36888 its product of digits (9216), we obtain a palindrome (27672).

Adding to 36888 its reverse (88863), we get a triangular number (125751 = T₅₀₁).

The spelling of 36888 in words is "thirty-six thousand, eight hundred eighty-eight".