45161820 has 96 divisors (see below), whose sum is σ = 153296640. Its totient is φ = 10946880.

The previous prime is 45161773. The next prime is 45161821. The reversal of 45161820 is 2816154.

45161820 is a `hidden beast` number, since 45 + 1 + 618 + 2 + 0 = 666.

45161820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45161821) 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 31 ways as a sum of consecutive naturals, for example, 2139 + ... + 9741.

It is an arithmetic number, because the mean of its divisors is an integer number (1596840).

Almost surely, 2^45161820 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 45161820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76648320).

45161820 is an abundant number, since it is smaller than the sum of its proper divisors (108134820).

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

45161820 is a wasteful number, since it uses less digits than its factorization.

45161820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45161820 is about 6720.2544594680. The cubic root of 45161820 is about 356.1151733566.

Adding to 45161820 its reverse (2816154), we get a palindrome (47977974).

It can be divided in two parts, 4516 and 1820, that added together give a palindrome (6336).

The spelling of 45161820 in words is "forty-five million, one hundred sixty-one thousand, eight hundred twenty".