47766144 has 64 divisors (see below), whose sum is σ = 129327840. Its totient is φ = 15614976.

The previous prime is 47766143. The next prime is 47766167. The reversal of 47766144 is 44166774.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (47766143) 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, 19179 + ... + 21525.

Almost surely, 2^47766144 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 47766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64663920).

47766144 is an abundant number, since it is smaller than the sum of its proper divisors (81561696).

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

47766144 is a wasteful number, since it uses less digits than its factorization.

47766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2405 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 47766144 is about 6911.3055206668. The cubic root of 47766144 is about 362.8329567091.

The spelling of 47766144 in words is "forty-seven million, seven hundred sixty-six thousand, one hundred forty-four".