47613384 has 192 divisors, whose sum is σ = 163363200. Its totient is φ = 12265344.

The previous prime is 47613383. The next prime is 47613403. The reversal of 47613384 is 48331674.

47613384 is a `hidden beast` number, since 4 + 7 + 613 + 38 + 4 = 666.

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 (47613383) 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, 1107267 + ... + 1107309.

It is an arithmetic number, because the mean of its divisors is an integer number (850850).

Almost surely, 2^47613384 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 47613384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81681600).

47613384 is an abundant number, since it is smaller than the sum of its proper divisors (115749816).

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

47613384 is a wasteful number, since it uses less digits than its factorization.

47613384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 47613384 is about 6900.2452130341. The cubic root of 47613384 is about 362.4457539121.

The spelling of 47613384 in words is "forty-seven million, six hundred thirteen thousand, three hundred eighty-four".