45735660 has 144 divisors (see below), whose sum is σ = 149909760. Its totient is φ = 11249280.

The previous prime is 45735647. The next prime is 45735667. The reversal of 45735660 is 6653754.

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 (45735667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146905 + ... + 147215.

It is an arithmetic number, because the mean of its divisors is an integer number (1041040).

Almost surely, 2^45735660 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 45735660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74954880).

45735660 is an abundant number, since it is smaller than the sum of its proper divisors (104174100).

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

45735660 is a wasteful number, since it uses less digits than its factorization.

45735660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45735660 is about 6762.8145028531. The cubic root of 45735660 is about 357.6171327917.

The spelling of 45735660 in words is "forty-five million, seven hundred thirty-five thousand, six hundred sixty".