45086080 has 64 divisors (see below), whose sum is σ = 116096400. Its totient is φ = 16644096.

The previous prime is 45086077. The next prime is 45086117. The reversal of 45086080 is 8068054.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5611 + ... + 11029.

Almost surely, 2^45086080 is an apocalyptic number.

45086080 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 45086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58048200).

45086080 is an abundant number, since it is smaller than the sum of its proper divisors (71010320).

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

45086080 is a wasteful number, since it uses less digits than its factorization.

45086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 45086080 is about 6714.6168915285. The cubic root of 45086080 is about 355.9159840454.

The spelling of 45086080 in words is "forty-five million, eighty-six thousand, eighty".