47815120 has 20 divisors (see below), whose sum is σ = 111170340. Its totient is φ = 19126016.

The previous prime is 47815099. The next prime is 47815129. The reversal of 47815120 is 2151874.

47815120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5513104 + 42302016 = 2348^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×47815120² = 4572571401228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47815129) 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 3 ways as a sum of consecutive naturals, for example, 298765 + ... + 298924.

It is an arithmetic number, because the mean of its divisors is an integer number (5558517).

Almost surely, 2^47815120 is an apocalyptic number.

47815120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47815120 is an abundant number, since it is smaller than the sum of its proper divisors (63355220).

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

47815120 is a wasteful number, since it uses less digits than its factorization.

47815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597702 (or 597696 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 47815120 is about 6914.8477929742. The cubic root of 47815120 is about 362.9569220358.

Adding to 47815120 its reverse (2151874), we get a palindrome (49966994).

The spelling of 47815120 in words is "forty-seven million, eight hundred fifteen thousand, one hundred twenty".