36587120 has 20 divisors (see below), whose sum is σ = 85065240. Its totient is φ = 14634816.

The previous prime is 36587087. The next prime is 36587137. The reversal of 36587120 is 2178563.

It is a happy number.

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

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 228590 + ... + 228749.

It is an arithmetic number, because the mean of its divisors is an integer number (4253262).

Almost surely, 2^36587120 is an apocalyptic number.

It is an amenable number.

36587120 is an abundant number, since it is smaller than the sum of its proper divisors (48478120).

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

36587120 is a wasteful number, since it uses less digits than its factorization.

36587120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457352 (or 457346 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 36587120 is about 6048.7287920686. The cubic root of 36587120 is about 331.9780795514.

The spelling of 36587120 in words is "thirty-six million, five hundred eighty-seven thousand, one hundred twenty".