47987920 has 80 divisors (see below), whose sum is σ = 118831680. Its totient is φ = 17971200.

The previous prime is 47987909. The next prime is 47987921. The reversal of 47987920 is 2978974.

47987920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47987921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199000 + ... + 199240.

It is an arithmetic number, because the mean of its divisors is an integer number (1485396).

Almost surely, 2^47987920 is an apocalyptic number.

47987920 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 47987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59415840).

47987920 is an abundant number, since it is smaller than the sum of its proper divisors (70843760).

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

47987920 is a wasteful number, since it uses less digits than its factorization.

47987920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 47987920 is about 6927.3313765114. The cubic root of 47987920 is about 363.3936287630.

The spelling of 47987920 in words is "forty-seven million, nine hundred eighty-seven thousand, nine hundred twenty".