45060768 has 72 divisors (see below), whose sum is σ = 129542868. Its totient is φ = 14856192.

The previous prime is 45060767. The next prime is 45060773. The reversal of 45060768 is 86706054.

It is a happy number.

45060768 is a `hidden beast` number, since 45 + 0 + 607 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 63504 = 6708^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45060767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27130 + ... + 28742.

Almost surely, 2^45060768 is an apocalyptic number.

45060768 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 45060768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64771434).

45060768 is an abundant number, since it is smaller than the sum of its proper divisors (84482100).

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

45060768 is a wasteful number, since it uses less digits than its factorization.

45060768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 45060768 is about 6712.7317837077. The cubic root of 45060768 is about 355.8493660572.

The spelling of 45060768 in words is "forty-five million, sixty thousand, seven hundred sixty-eight".