45566592 has 64 divisors (see below), whose sum is σ = 122277600. Its totient is φ = 15033344.

The previous prime is 45566567. The next prime is 45566597. The reversal of 45566592 is 29566554.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45566597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40534 + ... + 41642.

Almost surely, 2^45566592 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 45566592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138800).

45566592 is an abundant number, since it is smaller than the sum of its proper divisors (76711008).

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

45566592 is a wasteful number, since it uses less digits than its factorization.

45566592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1221 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 45566592 is about 6750.3031043058. The cubic root of 45566592 is about 357.1759287927.

The spelling of 45566592 in words is "forty-five million, five hundred sixty-six thousand, five hundred ninety-two".