47711120 has 40 divisors (see below), whose sum is σ = 112191480. Its totient is φ = 18867200.

The previous prime is 47710997. The next prime is 47711137. The reversal of 47711120 is 2111774.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 47169424 = 736^2 + 6868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3770 + ... + 10470.

It is an arithmetic number, because the mean of its divisors is an integer number (2804787).

Almost surely, 2^47711120 is an apocalyptic number.

47711120 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 47711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56095740).

47711120 is an abundant number, since it is smaller than the sum of its proper divisors (64480360).

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

47711120 is a wasteful number, since it uses less digits than its factorization.

47711120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 47711120 is about 6907.3236495766. The cubic root of 47711120 is about 362.6935819005.

Adding to 47711120 its reverse (2111774), we get a palindrome (49822894).

The spelling of 47711120 in words is "forty-seven million, seven hundred eleven thousand, one hundred twenty".