36640 has 24 divisors (see below), whose sum is σ = 86940. Its totient is φ = 14592.

The previous prime is 36637. The next prime is 36643. The reversal of 36640 is 4663.

It is a happy number.

36640 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (36637) and next prime (36643).

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 1296 = 188^2 + 36^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (36643) 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, 46 + ... + 274.

2³⁶⁶⁴⁰ 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 36640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43470).

36640 is an abundant number, since it is smaller than the sum of its proper divisors (50300).

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

36640 is a wasteful number, since it uses less digits than its factorization.

36640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 36640 is about 191.4157778241. The cubic root of 36640 is about 33.2137940454.

It can be divided in two parts, 366 and 40, that added together give a triangular number (406 = T₂₈).

The spelling of 36640 in words is "thirty-six thousand, six hundred forty".