45676644 has 72 divisors (see below), whose sum is σ = 117073152. Its totient is φ = 13852800.

The previous prime is 45676639. The next prime is 45676699. The reversal of 45676644 is 44667654.

45676644 = T₂₅₉ + T₂₆₀ + ... + T₆₆₂.

It is a happy number.

45676644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45676596 and 45676605.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 204717 + ... + 204939.

It is an arithmetic number, because the mean of its divisors is an integer number (1626016).

Almost surely, 2^45676644 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 45676644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58536576).

45676644 is an abundant number, since it is smaller than the sum of its proper divisors (71396508).

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

45676644 is a wasteful number, since it uses less digits than its factorization.

45676644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 45676644 is about 6758.4498222595. The cubic root of 45676644 is about 357.4632469104.

It can be divided in two parts, 4567 and 6644, that added together give a palindrome (11211).

The spelling of 45676644 in words is "forty-five million, six hundred seventy-six thousand, six hundred forty-four".