47960064 has 78 divisors (see below), whose sum is σ = 138640866. Its totient is φ = 15974400.

The previous prime is 47960063. The next prime is 47960117. The reversal of 47960064 is 46006974.

47960064 is a `hidden beast` number, since 47 + 9 + 600 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 23040000 = 4992^2 + 4800^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47960063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36214 + ... + 37514.

It is an arithmetic number, because the mean of its divisors is an integer number (1777447).

Almost surely, 2^47960064 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 47960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69320433).

47960064 is an abundant number, since it is smaller than the sum of its proper divisors (90680802).

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

47960064 is a wasteful number, since it uses less digits than its factorization.

47960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1306 counting only the distinct ones).

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

The square root of 47960064 is about 6925.3204979986. The cubic root of 47960064 is about 363.3233009790.

The spelling of 47960064 in words is "forty-seven million, nine hundred sixty thousand, sixty-four".