47637632 has 64 divisors (see below), whose sum is σ = 109996800. Its totient is φ = 20127744.

The previous prime is 47637599. The next prime is 47637637. The reversal of 47637632 is 23673674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (47637637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70448 + ... + 71120.

It is an arithmetic number, because the mean of its divisors is an integer number (1718700).

Almost surely, 2^47637632 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 47637632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54998400).

47637632 is an abundant number, since it is smaller than the sum of its proper divisors (62359168).

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

47637632 is an equidigital number, since it uses as much as digits as its factorization.

47637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its digits is 127008, while the sum is 38.

The square root of 47637632 is about 6902.0020283973. The cubic root of 47637632 is about 362.5072708807.

The spelling of 47637632 in words is "forty-seven million, six hundred thirty-seven thousand, six hundred thirty-two".