45061824 has 56 divisors (see below), whose sum is σ = 123352560. Its totient is φ = 14500864.

The previous prime is 45061823. The next prime is 45061831. The reversal of 45061824 is 42816054.

45061824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45061791 and 45061800.

It is not an unprimeable number, because it can be changed into a prime (45061823) 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 7 ways as a sum of consecutive naturals, for example, 1522 + ... + 9614.

Almost surely, 2^45061824 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 45061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61676280).

45061824 is an abundant number, since it is smaller than the sum of its proper divisors (78290736).

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

45061824 is a wasteful number, since it uses less digits than its factorization.

45061824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45061824 is about 6712.8104397488. The cubic root of 45061824 is about 355.8521458145.

Adding to 45061824 its reverse (42816054), we get a palindrome (87877878).

The spelling of 45061824 in words is "forty-five million, sixty-one thousand, eight hundred twenty-four".