36820160 has 112 divisors (see below), whose sum is σ = 96780096. Its totient is φ = 13258752.

The previous prime is 36820153. The next prime is 36820163. The reversal of 36820160 is 6102863.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (36820163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220397 + ... + 220563.

It is an arithmetic number, because the mean of its divisors is an integer number (864108).

Almost surely, 2^36820160 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 36820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48390048).

36820160 is an abundant number, since it is smaller than the sum of its proper divisors (59959936).

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

36820160 is a wasteful number, since it uses less digits than its factorization.

36820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 36820160 is about 6067.9617665242. The cubic root of 36820160 is about 332.6814281121.

The spelling of 36820160 in words is "thirty-six million, eight hundred twenty thousand, one hundred sixty".