36215120 has 20 divisors (see below), whose sum is σ = 84200340. Its totient is φ = 14486016.

The previous prime is 36215111. The next prime is 36215129. The reversal of 36215120 is 2151263.

It is an interprime number because it is at equal distance from previous prime (36215111) and next prime (36215129).

It can be written as a sum of positive squares in 2 ways, for example, as 7011904 + 29203216 = 2648^2 + 5404^2 .

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

It is a super-2 number, since 2×36215120² = 2623069833228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36215092 and 36215101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36215129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226265 + ... + 226424.

It is an arithmetic number, because the mean of its divisors is an integer number (4210017).

Almost surely, 2^36215120 is an apocalyptic number.

It is an amenable number.

36215120 is an abundant number, since it is smaller than the sum of its proper divisors (47985220).

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

36215120 is a wasteful number, since it uses less digits than its factorization.

36215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452702 (or 452696 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 36215120 is about 6017.8999659350. The cubic root of 36215120 is about 330.8491141807.

Adding to 36215120 its reverse (2151263), we get a palindrome (38366383).

The spelling of 36215120 in words is "thirty-six million, two hundred fifteen thousand, one hundred twenty".