45617660 has 48 divisors (see below), whose sum is σ = 105592032. Its totient is φ = 16416000.

The previous prime is 45617659. The next prime is 45617723. The reversal of 45617660 is 6671654.

45617660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45617660.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21194 + ... + 23246.

It is an arithmetic number, because the mean of its divisors is an integer number (2199834).

Almost surely, 2^45617660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45617660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52796016).

45617660 is an abundant number, since it is smaller than the sum of its proper divisors (59974372).

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

45617660 is a wasteful number, since it uses less digits than its factorization.

45617660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 45617660 is about 6754.0846900228. The cubic root of 45617660 is about 357.3093119697.

It can be divided in two parts, 4561 and 7660, that added together give a palindrome (12221).

The spelling of 45617660 in words is "forty-five million, six hundred seventeen thousand, six hundred sixty".