47963916 has 180 divisors, whose sum is σ = 164142160. Its totient is φ = 11499840.

The previous prime is 47963899. The next prime is 47963917. The reversal of 47963916 is 61936974.

47963916 is a `hidden beast` number, since 4 + 7 + 9 + 639 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (244944) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (47963917) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3689526 + ... + 3689538.

Almost surely, 2^47963916 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 47963916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82071080).

47963916 is an abundant number, since it is smaller than the sum of its proper divisors (116178244).

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

47963916 is a wasteful number, since it uses less digits than its factorization.

47963916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 47963916 is about 6925.5986022870. The cubic root of 47963916 is about 363.3330277097. Note that the first 3 decimals are identical.

The spelling of 47963916 in words is "forty-seven million, nine hundred sixty-three thousand, nine hundred sixteen".