45606528 has 192 divisors, whose sum is σ = 147981600. Its totient is φ = 13363200.

The previous prime is 45606523. The next prime is 45606551. The reversal of 45606528 is 82560654.

45606528 is a `hidden beast` number, since 45 + 606 + 5 + 2 + 8 = 666.

45606528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45606492 and 45606501.

It is not an unprimeable number, because it can be changed into a prime (45606523) by changing a digit.

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, 747618 + ... + 747678.

It is a vampire number, since it can be written as 5664 ⋅ 8052 (with its own digits).

Almost surely, 2^45606528 is an apocalyptic number.

45606528 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 45606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).

45606528 is an abundant number, since it is smaller than the sum of its proper divisors (102375072).

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

45606528 is a wasteful number, since it uses less digits than its factorization.

45606528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45606528 is about 6753.2605458401. The cubic root of 45606528 is about 357.2802450772.

The spelling of 45606528 in words is "forty-five million, six hundred six thousand, five hundred twenty-eight".