36671120 has 40 divisors (see below), whose sum is σ = 85514616. Its totient is φ = 14624768.

The previous prime is 36671111. The next prime is 36671137. The reversal of 36671120 is 2117663.

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 36192256 = 692^2 + 6016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 36671120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47054 + ... + 47826.

Almost surely, 2^36671120 is an apocalyptic number.

It is an amenable number.

36671120 is an abundant number, since it is smaller than the sum of its proper divisors (48843496).

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

36671120 is a wasteful number, since it uses less digits than its factorization.

36671120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 36671120 is about 6055.6684189278. The cubic root of 36671120 is about 332.2319470753.

Adding to 36671120 its reverse (2117663), we get a palindrome (38788783).

The spelling of 36671120 in words is "thirty-six million, six hundred seventy-one thousand, one hundred twenty".