47632640 has 144 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 16220160.

The previous prime is 47632631. The next prime is 47632679. The reversal of 47632640 is 4623674.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 47632597 and 47632606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239261 + ... + 239459.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 2^47632640 is an apocalyptic number.

47632640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

47632640 is an abundant number, since it is smaller than the sum of its proper divisors (84818560).

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

47632640 is a wasteful number, since it uses less digits than its factorization.

47632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 47632640 is about 6901.6403847201. The cubic root of 47632640 is about 362.4946079261.

The spelling of 47632640 in words is "forty-seven million, six hundred thirty-two thousand, six hundred forty".