47861632 has 96 divisors (see below), whose sum is σ = 119652120. Its totient is φ = 18902016.

The previous prime is 47861621. The next prime is 47861641. The reversal of 47861632 is 23616874.

It is a junction number, because it is equal to n+sod(n) for n = 47861591 and 47861600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81243 + ... + 81829.

Almost surely, 2^47861632 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 47861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59826060).

47861632 is an abundant number, since it is smaller than the sum of its proper divisors (71790488).

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

47861632 is a wasteful number, since it uses less digits than its factorization.

47861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 47861632 is about 6918.2101731590. The cubic root of 47861632 is about 363.0745722783.

The spelling of 47861632 in words is "forty-seven million, eight hundred sixty-one thousand, six hundred thirty-two".