45368820 has 72 divisors (see below), whose sum is σ = 157282944. Its totient is φ = 10369728.

The previous prime is 45368819. The next prime is 45368821. The reversal of 45368820 is 2886354.

45368820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45368819) and next prime (45368821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45368821) 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, 16744 + ... + 19263.

Almost surely, 2^45368820 is an apocalyptic number.

It is an amenable number.

45368820 is an abundant number, since it is smaller than the sum of its proper divisors (111914124).

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

45368820 is a wasteful number, since it uses less digits than its factorization.

45368820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36029 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45368820 is about 6735.6380544088. The cubic root of 45368820 is about 356.6584309198.

The spelling of 45368820 in words is "forty-five million, three hundred sixty-eight thousand, eight hundred twenty".