45556608 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 14192640.

The previous prime is 45556607. The next prime is 45556631. The reversal of 45556608 is 80665554.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45556603) 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 15 ways as a sum of consecutive naturals, for example, 511828 + ... + 511916.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^45556608 is an apocalyptic number.

45556608 is a gapful number since it is divisible by the number (48) 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 45556608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

45556608 is an abundant number, since it is smaller than the sum of its proper divisors (83697792).

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

45556608 is a wasteful number, since it uses less digits than its factorization.

45556608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 45556608 is about 6749.5635414447. The cubic root of 45556608 is about 357.1498401987.

It can be divided in two parts, 45556 and 608, that added together give a palindrome (46164).

The spelling of 45556608 in words is "forty-five million, five hundred fifty-six thousand, six hundred eight".