47121984 has 336 divisors, whose sum is σ = 177515520. Its totient is φ = 11612160.

The previous prime is 47121983. The next prime is 47122001. The reversal of 47121984 is 48912174.

It is a tau number, because it is divible by the number of its divisors (336).

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

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

It is not an unprimeable number, because it can be changed into a prime (47121983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520049 + ... + 1520079.

It is an arithmetic number, because the mean of its divisors is an integer number (528320).

Almost surely, 2^47121984 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 47121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757760).

47121984 is an abundant number, since it is smaller than the sum of its proper divisors (130393536).

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

47121984 is a wasteful number, since it uses less digits than its factorization.

47121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 47121984 is about 6864.5454328746. The cubic root of 47121984 is about 361.1945503826.

The spelling of 47121984 in words is "forty-seven million, one hundred twenty-one thousand, nine hundred eighty-four".