71160960 has 128 divisors (see below), whose sum is σ = 244359360. Its totient is φ = 17510400.

The previous prime is 71160923. The next prime is 71160967. The reversal of 71160960 is 6906117.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71160967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23535 + ... + 26385.

Almost surely, 2^71160960 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 71160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122179680).

71160960 is an abundant number, since it is smaller than the sum of its proper divisors (173198400).

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

71160960 is a wasteful number, since it uses less digits than its factorization.

71160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 71160960 is about 8435.6955848347. The cubic root of 71160960 is about 414.3944524036.

The spelling of 71160960 in words is "seventy-one million, one hundred sixty thousand, nine hundred sixty".