47916720 has 120 divisors (see below), whose sum is σ = 163708272. Its totient is φ = 12556800.

The previous prime is 47916697. The next prime is 47916767. The reversal of 47916720 is 2761974.

It is a happy number.

47916720 is a `hidden beast` number, since 479 + 167 + 20 = 666.

47916720 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43375 + ... + 44465.

Almost surely, 2^47916720 is an apocalyptic number.

47916720 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 47916720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81854136).

47916720 is an abundant number, since it is smaller than the sum of its proper divisors (115791552).

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

47916720 is a wasteful number, since it uses less digits than its factorization.

47916720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47916720 is about 6922.1904047780. The cubic root of 47916720 is about 363.2138166130.

It can be divided in two parts, 4791 and 6720, that added together give a palindrome (11511).

The spelling of 47916720 in words is "forty-seven million, nine hundred sixteen thousand, seven hundred twenty".