47977632 has 72 divisors (see below), whose sum is σ = 142388064. Its totient is φ = 15295104.

The previous prime is 47977619. The next prime is 47977639. The reversal of 47977632 is 23677974.

It is a happy number.

47977632 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (47977639) 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, 3003 + ... + 10245.

It is an arithmetic number, because the mean of its divisors is an integer number (1977612).

Almost surely, 2^47977632 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 47977632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71194032).

47977632 is an abundant number, since it is smaller than the sum of its proper divisors (94410432).

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

47977632 is a wasteful number, since it uses less digits than its factorization.

47977632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7271 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 47977632 is about 6926.5887708164. The cubic root of 47977632 is about 363.3676579155.

The spelling of 47977632 in words is "forty-seven million, nine hundred seventy-seven thousand, six hundred thirty-two".