45688160 has 144 divisors (see below), whose sum is σ = 131344416. Its totient is φ = 14708736.

The previous prime is 45688151. The next prime is 45688169. The reversal of 45688160 is 6188654.

It is an interprime number because it is at equal distance from previous prime (45688151) and next prime (45688169).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45688169) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 404264 + ... + 404376.

It is an arithmetic number, because the mean of its divisors is an integer number (912114).

Almost surely, 2^45688160 is an apocalyptic number.

45688160 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 45688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672208).

45688160 is an abundant number, since it is smaller than the sum of its proper divisors (85656256).

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

45688160 is a wasteful number, since it uses less digits than its factorization.

45688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 45688160 is about 6759.3017390852. The cubic root of 45688160 is about 357.4932856091.

The spelling of 45688160 in words is "forty-five million, six hundred eighty-eight thousand, one hundred sixty".