47965536 has 72 divisors (see below), whose sum is σ = 141130080. Its totient is φ = 15434496.

The previous prime is 47965499. The next prime is 47965537. The reversal of 47965536 is 63556974.

47965536 is a `hidden beast` number, since 4 + 7 + 96 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 47965491 and 47965500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47965537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5481 + ... + 11223.

It is an arithmetic number, because the mean of its divisors is an integer number (1960140).

Almost surely, 2^47965536 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 47965536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70565040).

47965536 is an abundant number, since it is smaller than the sum of its proper divisors (93164544).

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

47965536 is a wasteful number, since it uses less digits than its factorization.

47965536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5777 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 47965536 is about 6925.7155586986. The cubic root of 47965536 is about 363.3371182353.

The spelling of 47965536 in words is "forty-seven million, nine hundred sixty-five thousand, five hundred thirty-six".