47853120 has 112 divisors (see below), whose sum is σ = 173662848. Its totient is φ = 10936320.

The previous prime is 47853089. The next prime is 47853137. The reversal of 47853120 is 2135874.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3160 + ... + 10280.

Almost surely, 2^47853120 is an apocalyptic number.

47853120 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 47853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86831424).

47853120 is an abundant number, since it is smaller than the sum of its proper divisors (125809728).

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

47853120 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 47853120 = (25014837)₁₁.

47853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 47853120 is about 6917.5949577870. The cubic root of 47853120 is about 363.0530472149.

Adding to 47853120 its reverse (2135874), we get a palindrome (49988994).

The spelling of 47853120 in words is "forty-seven million, eight hundred fifty-three thousand, one hundred twenty".