47771920 has 80 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 15662592.

The previous prime is 47771917. The next prime is 47771951. The reversal of 47771920 is 2917774.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 47771920.

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, 11026 + ... + 14734.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 2^47771920 is an apocalyptic number.

47771920 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 47771920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

47771920 is an abundant number, since it is smaller than the sum of its proper divisors (84719600).

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

47771920 is a wasteful number, since it uses less digits than its factorization.

47771920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 47771920 is about 6911.7233740942. The cubic root of 47771920 is about 362.8475810051.

The spelling of 47771920 in words is "forty-seven million, seven hundred seventy-one thousand, nine hundred twenty".