47906064 has 60 divisors (see below), whose sum is σ = 136621836. Its totient is φ = 15664896.

The previous prime is 47906063. The next prime is 47906071. The reversal of 47906064 is 46060974.

47906064 is a `hidden beast` number, since 47 + 9 + 0 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 5760000 = 6492^2 + 2400^2 .

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 (47906063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4494 + ... + 10770.

Almost surely, 2^47906064 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 47906064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68310918).

47906064 is an abundant number, since it is smaller than the sum of its proper divisors (88715772).

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

47906064 is a wasteful number, since it uses less digits than its factorization.

47906064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 47906064 is about 6921.4206634187. The cubic root of 47906064 is about 363.1868900803.

The spelling of 47906064 in words is "forty-seven million, nine hundred six thousand, sixty-four".