47961216 has 192 divisors, whose sum is σ = 152755200. Its totient is φ = 14376960.

The previous prime is 47961209. The next prime is 47961217. The reversal of 47961216 is 61216974.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47961217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607065 + ... + 607143.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^47961216 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 47961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

47961216 is an abundant number, since it is smaller than the sum of its proper divisors (104793984).

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

47961216 is a wasteful number, since it uses less digits than its factorization.

47961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 47961216 is about 6925.4036705451. The cubic root of 47961216 is about 363.3262099624.

The spelling of 47961216 in words is "forty-seven million, nine hundred sixty-one thousand, two hundred sixteen".