45675090 has 160 divisors (see below), whose sum is σ = 135489024. Its totient is φ = 10990080.

The previous prime is 45675089. The next prime is 45675101. The reversal of 45675090 is 9057654.

45675090 is a `hidden beast` number, since 4 + 567 + 5 + 0 + 90 = 666.

45675090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 426817 + ... + 426923.

Almost surely, 2^45675090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45675090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67744512).

45675090 is an abundant number, since it is smaller than the sum of its proper divisors (89813934).

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

45675090 is a wasteful number, since it uses less digits than its factorization.

45675090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45675090 is about 6758.3348540894. The cubic root of 45675090 is about 357.4591930210.

The spelling of 45675090 in words is "forty-five million, six hundred seventy-five thousand, ninety".