45687180 has 288 divisors, whose sum is σ = 171601920. Its totient is φ = 8870400.

The previous prime is 45687137. The next prime is 45687203. The reversal of 45687180 is 8178654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1473765 + ... + 1473795.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 2^45687180 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 45687180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800960).

45687180 is an abundant number, since it is smaller than the sum of its proper divisors (125914740).

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

45687180 is a wasteful number, since it uses less digits than its factorization.

45687180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 45687180 is about 6759.2292460014. The cubic root of 45687180 is about 357.4907295426.

The spelling of 45687180 in words is "forty-five million, six hundred eighty-seven thousand, one hundred eighty".