36504240 has 80 divisors (see below), whose sum is σ = 114501600. Its totient is φ = 9619456.

The previous prime is 36504191. The next prime is 36504257. The reversal of 36504240 is 4240563.

36504240 is a nontrivial binomial coefficient, being equal to C(8545, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 36504240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20506 + ... + 22214.

It is an arithmetic number, because the mean of its divisors is an integer number (1431270).

Almost surely, 2^36504240 is an apocalyptic number.

36504240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36504240 is the 8544-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57250800).

36504240 is an abundant number, since it is smaller than the sum of its proper divisors (77997360).

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

36504240 is a wasteful number, since it uses less digits than its factorization.

36504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 36504240 is about 6041.8738815040. The cubic root of 36504240 is about 331.7272158112.

The spelling of 36504240 in words is "thirty-six million, five hundred four thousand, two hundred forty".