47634640 has 40 divisors (see below), whose sum is σ = 111053160. Its totient is φ = 19001856.

The previous prime is 47634623. The next prime is 47634647. The reversal of 47634640 is 4643674.

47634640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 47444544 = 436^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 47634596 and 47634605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47634647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44026 + ... + 45094.

It is an arithmetic number, because the mean of its divisors is an integer number (2776329).

Almost surely, 2^47634640 is an apocalyptic number.

47634640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47634640 is an abundant number, since it is smaller than the sum of its proper divisors (63418520).

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

47634640 is a wasteful number, since it uses less digits than its factorization.

47634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 47634640 is about 6901.7852762890. The cubic root of 47634640 is about 362.4996813315.

The spelling of 47634640 in words is "forty-seven million, six hundred thirty-four thousand, six hundred forty".