36406120 has 32 divisors (see below), whose sum is σ = 82402920. Its totient is φ = 14475520.

The previous prime is 36406103. The next prime is 36406189. The reversal of 36406120 is 2160463.

It can be written as a sum of positive squares in 4 ways, for example, as 36072036 + 334084 = 6006^2 + 578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36406091 and 36406100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4290 + ... + 9550.

Almost surely, 2^36406120 is an apocalyptic number.

It is an amenable number.

36406120 is an abundant number, since it is smaller than the sum of its proper divisors (45996800).

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

36406120 is a wasteful number, since it uses less digits than its factorization.

36406120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 36406120 is about 6033.7484203437. The cubic root of 36406120 is about 331.4297318203.

Adding to 36406120 its reverse (2160463), we get a palindrome (38566583).

The spelling of 36406120 in words is "thirty-six million, four hundred six thousand, one hundred twenty".