47635616 has 48 divisors (see below), whose sum is σ = 108218880. Its totient is φ = 20217600.

The previous prime is 47635607. The next prime is 47635619. The reversal of 47635616 is 61653674.

It is a happy number.

47635616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47635616.

It is not an unprimeable number, because it can be changed into a prime (47635619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23441 + ... + 25391.

It is an arithmetic number, because the mean of its divisors is an integer number (2254560).

Almost surely, 2^47635616 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 47635616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54109440).

47635616 is an abundant number, since it is smaller than the sum of its proper divisors (60583264).

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

47635616 is a wasteful number, since it uses less digits than its factorization.

47635616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2069 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 47635616 is about 6901.8559822703. The cubic root of 47635616 is about 362.5021571017.

The spelling of 47635616 in words is "forty-seven million, six hundred thirty-five thousand, six hundred sixteen".