47937664 has 32 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 23853312.

The previous prime is 47937661. The next prime is 47937751. The reversal of 47937664 is 46673974.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (47937661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29809 + ... + 31375.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2^47937664 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 47937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

47937664 is an abundant number, since it is smaller than the sum of its proper divisors (48023936).

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

47937664 is a wasteful number, since it uses less digits than its factorization.

47937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1808 counting only the distinct ones).

The product of its digits is 762048, while the sum is 46.

The square root of 47937664 is about 6923.7030554466. The cubic root of 47937664 is about 363.2667281513.

The spelling of 47937664 in words is "forty-seven million, nine hundred thirty-seven thousand, six hundred sixty-four".