71164080 has 120 divisors (see below), whose sum is σ = 257410608. Its totient is φ = 17515008.

The previous prime is 71164043. The next prime is 71164099. The reversal of 71164080 is 8046117.

It is a happy number.

71164080 is a `hidden beast` number, since 7 + 11 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5559 + ... + 13161.

Almost surely, 2^71164080 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 71164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128705304).

71164080 is an abundant number, since it is smaller than the sum of its proper divisors (186246528).

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

71164080 is a wasteful number, since it uses less digits than its factorization.

71164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71164080 is about 8435.8805112448. The cubic root of 71164080 is about 414.4005085885.

The spelling of 71164080 in words is "seventy-one million, one hundred sixty-four thousand, eighty".