45676160 has 128 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 16715776.

The previous prime is 45676159. The next prime is 45676177. The reversal of 45676160 is 6167654.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 45676160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426827 + ... + 426933.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^45676160 is an apocalyptic number.

45676160 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 45676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

45676160 is an abundant number, since it is smaller than the sum of its proper divisors (73296640).

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

45676160 is a wasteful number, since it uses less digits than its factorization.

45676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 45676160 is about 6758.4140151370. The cubic root of 45676160 is about 357.4619843189.

The spelling of 45676160 in words is "forty-five million, six hundred seventy-six thousand, one hundred sixty".