45645120 has 168 divisors, whose sum is σ = 163092384. Its totient is φ = 12151296.

The previous prime is 45645109. The next prime is 45645121. The reversal of 45645120 is 2154654.

45645120 is a `hidden beast` number, since 4 + 5 + 645 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77467 + ... + 78053.

It is an arithmetic number, because the mean of its divisors is an integer number (970788).

Almost surely, 2^45645120 is an apocalyptic number.

45645120 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 45645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81546192).

45645120 is an abundant number, since it is smaller than the sum of its proper divisors (117447264).

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

45645120 is an equidigital number, since it uses as much as digits as its factorization.

45645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45645120 is about 6756.1172281126. The cubic root of 45645120 is about 357.3809928758.

Adding to 45645120 its reverse (2154654), we get a palindrome (47799774).

The spelling of 45645120 in words is "forty-five million, six hundred forty-five thousand, one hundred twenty".