47634560 has 64 divisors (see below), whose sum is σ = 114713280. Its totient is φ = 18914304.

The previous prime is 47634511. The next prime is 47634563. The reversal of 47634560 is 6543674.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 47634560.

It is not an unprimeable number, because it can be changed into a prime (47634563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168179 + ... + 168461.

It is an arithmetic number, because the mean of its divisors is an integer number (1792395).

Almost surely, 2^47634560 is an apocalyptic number.

47634560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57356640).

47634560 is an abundant number, since it is smaller than the sum of its proper divisors (67078720).

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

47634560 is a wasteful number, since it uses less digits than its factorization.

47634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 47634560 is about 6901.7794806847. The cubic root of 47634560 is about 362.4994783980.

The spelling of 47634560 in words is "forty-seven million, six hundred thirty-four thousand, five hundred sixty".