36270 has 48 divisors (see below), whose sum is σ = 104832. Its totient is φ = 8640.

The previous prime is 36269. The next prime is 36277. The reversal of 36270 is 7263.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 36270.

It is not an unprimeable number, because it can be changed into a prime (36277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2³⁶²⁷⁰ is an apocalyptic number.

36270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

36270 is an abundant number, since it is smaller than the sum of its proper divisors (68562).

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

36270 is a wasteful number, since it uses less digits than its factorization.

36270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 36270 is about 190.4468429772. The cubic root of 36270 is about 33.1016151553.

The spelling of 36270 in words is "thirty-six thousand, two hundred seventy".