45086160 has 160 divisors (see below), whose sum is σ = 163418112. Its totient is φ = 10068480.

The previous prime is 45086117. The next prime is 45086177. The reversal of 45086160 is 6168054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78675 + ... + 79245.

Almost surely, 2^45086160 is an apocalyptic number.

45086160 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 45086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81709056).

45086160 is an abundant number, since it is smaller than the sum of its proper divisors (118331952).

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

45086160 is a wasteful number, since it uses less digits than its factorization.

45086160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 45086160 is about 6714.6228486788. The cubic root of 45086160 is about 355.9161945557.

The spelling of 45086160 in words is "forty-five million, eighty-six thousand, one hundred sixty".