45696820 has 24 divisors (see below), whose sum is σ = 103345704. Its totient is φ = 16872576.

The previous prime is 45696793. The next prime is 45696841. The reversal of 45696820 is 2869654.

It is a happy number.

45696820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 35736484 = 3156^2 + 5978^2 .

It is a super-3 number, since 3×45696820³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 87619 + ... + 88138.

It is an arithmetic number, because the mean of its divisors is an integer number (4306071).

Almost surely, 2^45696820 is an apocalyptic number.

It is an amenable number.

45696820 is an abundant number, since it is smaller than the sum of its proper divisors (57648884).

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

45696820 is a wasteful number, since it uses less digits than its factorization.

45696820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175779 (or 175777 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 45696820 is about 6759.9423074461. The cubic root of 45696820 is about 357.5158713022.

The spelling of 45696820 in words is "forty-five million, six hundred ninety-six thousand, eight hundred twenty".