47627216 has 60 divisors (see below), whose sum is σ = 115625412. Its totient is φ = 18837504.

The previous prime is 47627213. The next prime is 47627221. The reversal of 47627216 is 61272674.

It can be written as a sum of positive squares in 2 ways, for example, as 28302400 + 19324816 = 5320^2 + 4396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47627213) 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, 7856 + ... + 12528.

Almost surely, 2^47627216 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 47627216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57812706).

47627216 is an abundant number, since it is smaller than the sum of its proper divisors (67998196).

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

47627216 is a wasteful number, since it uses less digits than its factorization.

47627216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4695 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 47627216 is about 6901.2474234735. The cubic root of 47627216 is about 362.4808481360.

The spelling of 47627216 in words is "forty-seven million, six hundred twenty-seven thousand, two hundred sixteen".