36920 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 13440.

The previous prime is 36919. The next prime is 36923. The reversal of 36920 is 2963.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 36892 and 36901.

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 36920.

It is not an unprimeable number, because it can be changed into a prime (36923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³⁶⁹²⁰ 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 36920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

36920 is an abundant number, since it is smaller than the sum of its proper divisors (53800).

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

36920 is a wasteful number, since it uses less digits than its factorization.

36920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 36920 is about 192.1457779916. The cubic root of 36920 is about 33.2981851735.

The spelling of 36920 in words is "thirty-six thousand, nine hundred twenty".