45642636 has 192 divisors, whose sum is σ = 141120000. Its totient is φ = 12628224.

The previous prime is 45642631. The next prime is 45642643. The reversal of 45642636 is 63624654.

45642636 is a `hidden beast` number, since 4 + 5 + 642 + 6 + 3 + 6 = 666.

45642636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45642636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45642631) 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 63 ways as a sum of consecutive naturals, for example, 773575 + ... + 773633.

It is an arithmetic number, because the mean of its divisors is an integer number (735000).

Almost surely, 2^45642636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45642636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560000).

45642636 is an abundant number, since it is smaller than the sum of its proper divisors (95477364).

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

45642636 is a wasteful number, since it uses less digits than its factorization.

45642636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 45642636 is about 6755.9333922116. The cubic root of 45642636 is about 357.3745098864.

The spelling of 45642636 in words is "forty-five million, six hundred forty-two thousand, six hundred thirty-six".