71516646 has 48 divisors (see below), whose sum is σ = 165235200. Its totient is φ = 22289904.

The previous prime is 71516623. The next prime is 71516651. The reversal of 71516646 is 64661517.

71516646 is a `hidden beast` number, since 7 + 1 + 5 + 1 + 6 + 646 = 666.

It is a super-2 number, since 2×71516646² = 10229261310178632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71516646.

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 23 ways as a sum of consecutive naturals, for example, 25695 + ... + 28341.

It is an arithmetic number, because the mean of its divisors is an integer number (3442400).

Almost surely, 2^71516646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71516646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82617600).

71516646 is an abundant number, since it is smaller than the sum of its proper divisors (93718554).

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

71516646 is a wasteful number, since it uses less digits than its factorization.

71516646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2750 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 71516646 is about 8456.7515039760. The cubic root of 71516646 is about 415.0837320765.

The spelling of 71516646 in words is "seventy-one million, five hundred sixteen thousand, six hundred forty-six".