71164040 has 64 divisors (see below), whose sum is σ = 170650800. Its totient is φ = 26615808.

The previous prime is 71164031. The next prime is 71164043. The reversal of 71164040 is 4046117.

It can be written as a sum of positive squares in 8 ways, for example, as 67010596 + 4153444 = 8186^2 + 2038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71163997 and 71164015.

It is not an unprimeable number, because it can be changed into a prime (71164043) 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, 155492 + ... + 155948.

Almost surely, 2^71164040 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 71164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85325400).

71164040 is an abundant number, since it is smaller than the sum of its proper divisors (99486760).

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

71164040 is a wasteful number, since it uses less digits than its factorization.

71164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 71164040 is about 8435.8781404191. The cubic root of 71164040 is about 414.4004309462.

The spelling of 71164040 in words is "seventy-one million, one hundred sixty-four thousand, forty".