36815120 has 20 divisors (see below), whose sum is σ = 85595340. Its totient is φ = 14726016.

The previous prime is 36815113. The next prime is 36815131. The reversal of 36815120 is 2151863.

It can be written as a sum of positive squares in 2 ways, for example, as 21196816 + 15618304 = 4604^2 + 3952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×36815120² = 2710706121228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36815120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230015 + ... + 230174.

It is an arithmetic number, because the mean of its divisors is an integer number (4279767).

Almost surely, 2^36815120 is an apocalyptic number.

It is an amenable number.

36815120 is an abundant number, since it is smaller than the sum of its proper divisors (48780220).

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

36815120 is a wasteful number, since it uses less digits than its factorization.

36815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460202 (or 460196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 36815120 is about 6067.5464563528. The cubic root of 36815120 is about 332.6662481047. Note that the first 3 decimals are identical.

Adding to 36815120 its reverse (2151863), we get a palindrome (38966983).

The spelling of 36815120 in words is "thirty-six million, eight hundred fifteen thousand, one hundred twenty".