45668800 has 168 divisors, whose sum is σ = 125858016. Its totient is φ = 16220160.

The previous prime is 45668771. The next prime is 45668801. The reversal of 45668800 is 886654.

45668800 is nontrivially palindromic in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 45668800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45668801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625564 + ... + 625636.

Almost surely, 2^45668800 is an apocalyptic number.

45668800 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 45668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62929008).

45668800 is an abundant number, since it is smaller than the sum of its proper divisors (80189216).

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

45668800 is a wasteful number, since it uses less digits than its factorization.

45668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 45668800 is about 6757.8694867539. The cubic root of 45668800 is about 357.4427834818.

It can be divided in two parts, 4566 and 8800, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 45668800 in words is "forty-five million, six hundred sixty-eight thousand, eight hundred".