47601632 has 96 divisors (see below), whose sum is σ = 109734912. Its totient is φ = 20127744.

The previous prime is 47601629. The next prime is 47601637. The reversal of 47601632 is 23610674.

It is a junction number, because it is equal to n+sod(n) for n = 47601595 and 47601604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47601637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374753 + ... + 374879.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^47601632 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 47601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

47601632 is an abundant number, since it is smaller than the sum of its proper divisors (62133280).

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

47601632 is a wasteful number, since it uses less digits than its factorization.

47601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 47601632 is about 6899.3935965417. The cubic root of 47601632 is about 362.4159316742.

The spelling of 47601632 in words is "forty-seven million, six hundred one thousand, six hundred thirty-two".