47768644 has 48 divisors (see below), whose sum is σ = 107606016. Its totient is φ = 18007200.

The previous prime is 47768639. The next prime is 47768647. The reversal of 47768644 is 44686774.

It is a junction number, because it is equal to n+sod(n) for n = 47768594 and 47768603.

It is not an unprimeable number, because it can be changed into a prime (47768647) 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 15 ways as a sum of consecutive naturals, for example, 7047 + ... + 12049.

It is an arithmetic number, because the mean of its divisors is an integer number (2241792).

Almost surely, 2^47768644 is an apocalyptic number.

47768644 is a gapful number since it is divisible by the number (44) 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 47768644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53803008).

47768644 is an abundant number, since it is smaller than the sum of its proper divisors (59837372).

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

47768644 is a wasteful number, since it uses less digits than its factorization.

47768644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5054 counting only the distinct ones).

The product of its digits is 903168, while the sum is 46.

The square root of 47768644 is about 6911.4863813799. The cubic root of 47768644 is about 362.8392866218.

The spelling of 47768644 in words is "forty-seven million, seven hundred sixty-eight thousand, six hundred forty-four".