36042640 has 20 divisors (see below), whose sum is σ = 83799324. Its totient is φ = 14417024.

The previous prime is 36042631. The next prime is 36042641. The reversal of 36042640 is 4624063.

36042640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9168784 + 26873856 = 3028^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (36042641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225187 + ... + 225346.

Almost surely, 2^36042640 is an apocalyptic number.

It is an amenable number.

36042640 is an abundant number, since it is smaller than the sum of its proper divisors (47756684).

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

36042640 is a wasteful number, since it uses less digits than its factorization.

36042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450546 (or 450540 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 36042640 is about 6003.5522817745. The cubic root of 36042640 is about 330.3230384328.

The spelling of 36042640 in words is "thirty-six million, forty-two thousand, six hundred forty".