36507240 has 256 divisors, whose sum is σ = 152064000. Its totient is φ = 7568640.

The previous prime is 36507209. The next prime is 36507241. The reversal of 36507240 is 4270563.

It is a happy number.

36507240 is a `hidden beast` number, since 3 + 650 + 7 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36507241) 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 63 ways as a sum of consecutive naturals, for example, 82941 + ... + 83379.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 2^36507240 is an apocalyptic number.

36507240 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 36507240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76032000).

36507240 is an abundant number, since it is smaller than the sum of its proper divisors (115556760).

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

36507240 is a wasteful number, since it uses less digits than its factorization.

36507240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36507240 is about 6042.1221437505. The cubic root of 36507240 is about 331.7363029235.

The spelling of 36507240 in words is "thirty-six million, five hundred seven thousand, two hundred forty".