36208820 has 48 divisors (see below), whose sum is σ = 79349760. Its totient is φ = 13862016.

The previous prime is 36208801. The next prime is 36208853. The reversal of 36208820 is 2880263.

It is a super-2 number, since 2×36208820² = 2622157291584800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94349 + ... + 94731.

It is an arithmetic number, because the mean of its divisors is an integer number (1653120).

Almost surely, 2^36208820 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 36208820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674880).

36208820 is an abundant number, since it is smaller than the sum of its proper divisors (43140940).

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

36208820 is a wasteful number, since it uses less digits than its factorization.

36208820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 36208820 is about 6017.3765047569. The cubic root of 36208820 is about 330.8299281769.

The spelling of 36208820 in words is "thirty-six million, two hundred eight thousand, eight hundred twenty".