45540768 has 144 divisors (see below), whose sum is σ = 148309056. Its totient is φ = 11980800.

The previous prime is 45540751. The next prime is 45540769. The reversal of 45540768 is 86704554.

45540768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45540769) 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 23 ways as a sum of consecutive naturals, for example, 113368 + ... + 113768.

It is an arithmetic number, because the mean of its divisors is an integer number (1029924).

Almost surely, 2^45540768 is an apocalyptic number.

45540768 is a gapful number since it is divisible by the number (48) 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 45540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74154528).

45540768 is an abundant number, since it is smaller than the sum of its proper divisors (102768288).

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

45540768 is a wasteful number, since it uses less digits than its factorization.

45540768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 45540768 is about 6748.3900302220. The cubic root of 45540768 is about 357.1084418190.

The spelling of 45540768 in words is "forty-five million, five hundred forty thousand, seven hundred sixty-eight".