47676816 has 160 divisors (see below), whose sum is σ = 152371200. Its totient is φ = 14152320.

The previous prime is 47676803. The next prime is 47676817. The reversal of 47676816 is 61867674.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47676817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375345 + ... + 375471.

It is an arithmetic number, because the mean of its divisors is an integer number (952320).

Almost surely, 2^47676816 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 47676816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185600).

47676816 is an abundant number, since it is smaller than the sum of its proper divisors (104694384).

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

47676816 is a wasteful number, since it uses less digits than its factorization.

47676816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 47676816 is about 6904.8400415940. The cubic root of 47676816 is about 362.6066362458.

The spelling of 47676816 in words is "forty-seven million, six hundred seventy-six thousand, eight hundred sixteen".