71604936 has 96 divisors (see below), whose sum is σ = 211007160. Its totient is φ = 21805056.

The previous prime is 71604931. The next prime is 71604959. The reversal of 71604936 is 63940617.

71604936 is a `hidden beast` number, since 7 + 160 + 493 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51408900 + 20196036 = 7170^2 + 4494^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71604936.

It is not an unprimeable number, because it can be changed into a prime (71604931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105430 + ... + 106106.

Almost surely, 2^71604936 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 71604936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105503580).

71604936 is an abundant number, since it is smaller than the sum of its proper divisors (139402224).

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

71604936 is a wasteful number, since it uses less digits than its factorization.

71604936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 71604936 is about 8461.9699834022. The cubic root of 71604936 is about 415.2544740137.

The spelling of 71604936 in words is "seventy-one million, six hundred four thousand, nine hundred thirty-six".