45667168 has 48 divisors (see below), whose sum is σ = 96090624. Its totient is φ = 21288960.

The previous prime is 45667163. The next prime is 45667177. The reversal of 45667168 is 86176654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45667163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68758 + ... + 69418.

It is an arithmetic number, because the mean of its divisors is an integer number (2001888).

Almost surely, 2^45667168 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 45667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48045312).

45667168 is an abundant number, since it is smaller than the sum of its proper divisors (50423456).

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

45667168 is a wasteful number, since it uses less digits than its factorization.

45667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 45667168 is about 6757.7487375605. The cubic root of 45667168 is about 357.4385256254.

The spelling of 45667168 in words is "forty-five million, six hundred sixty-seven thousand, one hundred sixty-eight".