45601320 has 64 divisors (see below), whose sum is σ = 137528640. Its totient is φ = 12096000.

The previous prime is 45601291. The next prime is 45601331. The reversal of 45601320 is 2310654.

It is a happy number.

45601320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 24420 + ... + 26220.

It is an arithmetic number, because the mean of its divisors is an integer number (2148885).

Almost surely, 2^45601320 is an apocalyptic number.

45601320 is a gapful number since it is divisible by the number (40) 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 45601320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68764320).

45601320 is an abundant number, since it is smaller than the sum of its proper divisors (91927320).

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

45601320 is a wasteful number, since it uses less digits than its factorization.

45601320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45601320 is about 6752.8749433112. The cubic root of 45601320 is about 357.2666447848.

Adding to 45601320 its reverse (2310654), we get a palindrome (47911974).

The spelling of 45601320 in words is "forty-five million, six hundred one thousand, three hundred twenty".