45186560 has 80 divisors (see below), whose sum is σ = 114166800. Its totient is φ = 17104896.

The previous prime is 45186539. The next prime is 45186571. The reversal of 45186560 is 6568154.

It is a happy number.

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

It is a super-3 number, since 3×45186560³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45186560.

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 7 ways as a sum of consecutive naturals, for example, 48176 + ... + 49104.

It is an arithmetic number, because the mean of its divisors is an integer number (1427085).

Almost surely, 2^45186560 is an apocalyptic number.

45186560 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 45186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57083400).

45186560 is an abundant number, since it is smaller than the sum of its proper divisors (68980240).

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

45186560 is an equidigital number, since it uses as much as digits as its factorization.

45186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 45186560 is about 6722.0949115584. The cubic root of 45186560 is about 356.1801890497.

The spelling of 45186560 in words is "forty-five million, one hundred eighty-six thousand, five hundred sixty".