36630540 has 72 divisors (see below), whose sum is σ = 112192080. Its totient is φ = 9673344.

The previous prime is 36630521. The next prime is 36630541. The reversal of 36630540 is 4503663.

It is not an unprimeable number, because it can be changed into a prime (36630541) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18687 + ... + 20553.

Almost surely, 2^36630540 is an apocalyptic number.

36630540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36630540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56096040).

36630540 is an abundant number, since it is smaller than the sum of its proper divisors (75561540).

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

36630540 is a wasteful number, since it uses less digits than its factorization.

36630540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36630540 is about 6052.3169117289. The cubic root of 36630540 is about 332.1093533422.

The spelling of 36630540 in words is "thirty-six million, six hundred thirty thousand, five hundred forty".