47638560 has 96 divisors (see below), whose sum is σ = 152615232. Its totient is φ = 12487680.

The previous prime is 47638531. The next prime is 47638571. The reversal of 47638560 is 6583674.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28467 + ... + 30093.

It is an arithmetic number, because the mean of its divisors is an integer number (1589742).

Almost surely, 2^47638560 is an apocalyptic number.

47638560 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 47638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76307616).

47638560 is an abundant number, since it is smaller than the sum of its proper divisors (104976672).

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

47638560 is a wasteful number, since it uses less digits than its factorization.

47638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 47638560 is about 6902.0692549409. The cubic root of 47638560 is about 362.5096247940.

The spelling of 47638560 in words is "forty-seven million, six hundred thirty-eight thousand, five hundred sixty".