47606544 has 60 divisors (see below), whose sum is σ = 133836300. Its totient is φ = 15796992.

The previous prime is 47606501. The next prime is 47606549. The reversal of 47606544 is 44560674.

47606544 is a `hidden beast` number, since 4 + 7 + 606 + 5 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27248400 + 20358144 = 5220^2 + 4512^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 47606499 and 47606508.

It is not an unprimeable number, because it can be changed into a prime (47606549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38122 + ... + 39350.

It is an arithmetic number, because the mean of its divisors is an integer number (2230605).

Almost surely, 2^47606544 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 47606544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66918150).

47606544 is an abundant number, since it is smaller than the sum of its proper divisors (86229756).

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

47606544 is a wasteful number, since it uses less digits than its factorization.

47606544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 47606544 is about 6899.7495606725. The cubic root of 47606544 is about 362.4283971140.

The spelling of 47606544 in words is "forty-seven million, six hundred six thousand, five hundred forty-four".