36600540 has 48 divisors (see below), whose sum is σ = 102867072. Its totient is φ = 9723456.

The previous prime is 36600533. The next prime is 36600547. The reversal of 36600540 is 4500663.

It is an interprime number because it is at equal distance from previous prime (36600533) and next prime (36600547).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36600540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36600547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17427 + ... + 19413.

It is an arithmetic number, because the mean of its divisors is an integer number (2143064).

Almost surely, 2^36600540 is an apocalyptic number.

36600540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36600540 is an abundant number, since it is smaller than the sum of its proper divisors (66266532).

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

36600540 is a wasteful number, since it uses less digits than its factorization.

36600540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36600540 is about 6049.8380143604. The cubic root of 36600540 is about 332.0186639723.

The spelling of 36600540 in words is "thirty-six million, six hundred thousand, five hundred forty".