45220896 has 96 divisors (see below), whose sum is σ = 150756480. Its totient is φ = 12918528.

The previous prime is 45220891. The next prime is 45220937. The reversal of 45220896 is 69802254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 45220896.

It is not an unprimeable number, because it can be changed into a prime (45220891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310 + ... + 9786.

It is an arithmetic number, because the mean of its divisors is an integer number (1570380).

Almost surely, 2^45220896 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 45220896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75378240).

45220896 is an abundant number, since it is smaller than the sum of its proper divisors (105535584).

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

45220896 is a wasteful number, since it uses less digits than its factorization.

45220896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45220896 is about 6724.6483922953. The cubic root of 45220896 is about 356.2703833213.

The spelling of 45220896 in words is "forty-five million, two hundred twenty thousand, eight hundred ninety-six".