45065820 has 48 divisors (see below), whose sum is σ = 127925280. Its totient is φ = 11851776.

The previous prime is 45065819. The next prime is 45065821. The reversal of 45065820 is 2856054.

It is an interprime number because it is at equal distance from previous prime (45065819) and next prime (45065821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45065821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (2665110).

Almost surely, 2^45065820 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 45065820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63962640).

45065820 is an abundant number, since it is smaller than the sum of its proper divisors (82859460).

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

45065820 is a wasteful number, since it uses less digits than its factorization.

45065820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45065820 is about 6713.1080730166. The cubic root of 45065820 is about 355.8626642757.

The spelling of 45065820 in words is "forty-five million, sixty-five thousand, eight hundred twenty".