45609680 has 80 divisors (see below), whose sum is σ = 111849984. Its totient is φ = 17272320.

The previous prime is 45609679. The next prime is 45609689. The reversal of 45609680 is 8690654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45609689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131267 + ... + 131613.

Almost surely, 2^45609680 is an apocalyptic number.

45609680 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 45609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55924992).

45609680 is an abundant number, since it is smaller than the sum of its proper divisors (66240304).

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

45609680 is a wasteful number, since it uses less digits than its factorization.

45609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 45609680 is about 6753.4939105621. The cubic root of 45609680 is about 357.2884757804.

The spelling of 45609680 in words is "forty-five million, six hundred nine thousand, six hundred eighty".