47106864 has 120 divisors (see below), whose sum is σ = 159588000. Its totient is φ = 12662784.

The previous prime is 47106863. The next prime is 47106869. The reversal of 47106864 is 46860174.

47106864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (47106863) 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 23 ways as a sum of consecutive naturals, for example, 15762 + ... + 18510.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 2^47106864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47106864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794000).

47106864 is an abundant number, since it is smaller than the sum of its proper divisors (112481136).

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

47106864 is a wasteful number, since it uses less digits than its factorization.

47106864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47106864 is about 6863.4440334281. Note that the first 3 decimals coincide. The cubic root of 47106864 is about 361.1559141640.

The spelling of 47106864 in words is "forty-seven million, one hundred six thousand, eight hundred sixty-four".