45168640 has 96 divisors (see below), whose sum is σ = 118525680. Its totient is φ = 16384000.

The previous prime is 45168637. The next prime is 45168649. The reversal of 45168640 is 4686154.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45168596 and 45168605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45168649) 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, 112440 + ... + 112840.

Almost surely, 2^45168640 is an apocalyptic number.

45168640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59262840).

45168640 is an abundant number, since it is smaller than the sum of its proper divisors (73357040).

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

45168640 is a wasteful number, since it uses less digits than its factorization.

45168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 45168640 is about 6720.7618615749. The cubic root of 45168640 is about 356.1330984036.

The spelling of 45168640 in words is "forty-five million, one hundred sixty-eight thousand, six hundred forty".