71086080 has 208 divisors, whose sum is σ = 247695840. Its totient is φ = 17301504.

The previous prime is 71086079. The next prime is 71086109. The reversal of 71086080 is 8068017.

It is a tau number, because it is divible by the number of its divisors (208).

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 15 ways as a sum of consecutive naturals, for example, 798676 + ... + 798764.

Almost surely, 2^71086080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123847920).

71086080 is an abundant number, since it is smaller than the sum of its proper divisors (176609760).

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

71086080 is a wasteful number, since it uses less digits than its factorization.

71086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 71086080 is about 8431.2561341712. The cubic root of 71086080 is about 414.2490508294.

The spelling of 71086080 in words is "seventy-one million, eighty-six thousand, eighty".