45568600 has 144 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 14150400.

The previous prime is 45568597. The next prime is 45568603. The reversal of 45568600 is 686554.

45568600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45568597) and next prime (45568603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45568603) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 169266 + ... + 169534.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^45568600 is an apocalyptic number.

45568600 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 45568600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

45568600 is an abundant number, since it is smaller than the sum of its proper divisors (88016600).

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

45568600 is a wasteful number, since it uses less digits than its factorization.

45568600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 45568600 is about 6750.4518367292. The cubic root of 45568600 is about 357.1811753172.

The spelling of 45568600 in words is "forty-five million, five hundred sixty-eight thousand, six hundred".