45708640 has 48 divisors (see below), whose sum is σ = 111721680. Its totient is φ = 17651200.

The previous prime is 45708599. The next prime is 45708643. The reversal of 45708640 is 4680754.

45708640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45708596 and 45708605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45708643) 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 9565.

It is an arithmetic number, because the mean of its divisors is an integer number (2327535).

Almost surely, 2^45708640 is an apocalyptic number.

45708640 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 45708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860840).

45708640 is an abundant number, since it is smaller than the sum of its proper divisors (66013040).

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

45708640 is a wasteful number, since it uses less digits than its factorization.

45708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 45708640 is about 6760.8165187350. The cubic root of 45708640 is about 357.5466938211.

The spelling of 45708640 in words is "forty-five million, seven hundred eight thousand, six hundred forty".