45531620 has 24 divisors (see below), whose sum is σ = 97186488. Its totient is φ = 17913600.

The previous prime is 45531617. The next prime is 45531623. The reversal of 45531620 is 2613554.

45531620 = 405² + 406² + ... + 587².

45531620 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 (45531617) and next prime (45531623).

It can be written as a sum of positive squares in 4 ways, for example, as 1865956 + 43665664 = 1366^2 + 6608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45531620.

It is not an unprimeable number, because it can be changed into a prime (45531623) 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, 17441 + ... + 19880.

It is an arithmetic number, because the mean of its divisors is an integer number (4049437).

Almost surely, 2^45531620 is an apocalyptic number.

It is an amenable number.

45531620 is an abundant number, since it is smaller than the sum of its proper divisors (51654868).

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

45531620 is a wasteful number, since it uses less digits than its factorization.

45531620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37391 (or 37389 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 45531620 is about 6747.7122048884. The cubic root of 45531620 is about 357.0845288363.

The spelling of 45531620 in words is "forty-five million, five hundred thirty-one thousand, six hundred twenty".