36582240 has 48 divisors (see below), whose sum is σ = 115235568. Its totient is φ = 9755136.

The previous prime is 36582211. The next prime is 36582241. The reversal of 36582240 is 4228563.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36582198 and 36582207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36582241) 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 7 ways as a sum of consecutive naturals, for example, 37627 + ... + 38586.

It is an arithmetic number, because the mean of its divisors is an integer number (2400741).

Almost surely, 2^36582240 is an apocalyptic number.

36582240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36582240 is an abundant number, since it is smaller than the sum of its proper divisors (78653328).

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

36582240 is a wasteful number, since it uses less digits than its factorization.

36582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76231 (or 76223 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 36582240 is about 6048.3253880723. The cubic root of 36582240 is about 331.9633191197.

The spelling of 36582240 in words is "thirty-six million, five hundred eighty-two thousand, two hundred forty".