71089664 has 40 divisors (see below), whose sum is σ = 145388760. Its totient is φ = 34707456.

The previous prime is 71089657. The next prime is 71089703. The reversal of 71089664 is 46698017.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20402 + ... + 23630.

It is an arithmetic number, because the mean of its divisors is an integer number (3634719).

Almost surely, 2^71089664 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 71089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72694380).

71089664 is an abundant number, since it is smaller than the sum of its proper divisors (74299096).

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

71089664 is an equidigital number, since it uses as much as digits as its factorization.

71089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 71089664 is about 8431.4686739619. The cubic root of 71089664 is about 414.2560125470.

The spelling of 71089664 in words is "seventy-one million, eighty-nine thousand, six hundred sixty-four".