36420 has 24 divisors (see below), whose sum is σ = 102144. Its totient is φ = 9696.

The previous prime is 36389. The next prime is 36433. The reversal of 36420 is 2463.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 36420.

It is an unprimeable number.

36420 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 7 ways as a sum of consecutive naturals, for example, 244 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

2³⁶⁴²⁰ is an apocalyptic number.

36420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36420 is an abundant number, since it is smaller than the sum of its proper divisors (65724).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072).

36420 is a wasteful number, since it uses less digits than its factorization.

36420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36420 is about 190.8402473274. The cubic root of 36420 is about 33.1471846170.

Adding to 36420 its reverse (2463), we get a palindrome (38883).

The spelling of 36420 in words is "thirty-six thousand, four hundred twenty".