47673120 has 96 divisors (see below), whose sum is σ = 163840320. Its totient is φ = 11555840.

The previous prime is 47673107. The next prime is 47673137. The reversal of 47673120 is 2137674.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (1706670).

Almost surely, 2^47673120 is an apocalyptic number.

47673120 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 47673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81920160).

47673120 is an abundant number, since it is smaller than the sum of its proper divisors (116167200).

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

47673120 is a wasteful number, since it uses less digits than its factorization.

47673120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 47673120 is about 6904.5723980562. The cubic root of 47673120 is about 362.5972660118.

It can be divided in two parts, 4767 and 3120, that added together give a palindrome (7887).

The spelling of 47673120 in words is "forty-seven million, six hundred seventy-three thousand, one hundred twenty".