47648736 has 120 divisors (see below), whose sum is σ = 144897984. Its totient is φ = 15344640.

The previous prime is 47648729. The next prime is 47648743. The reversal of 47648736 is 63784674.

It is an interprime number because it is at equal distance from previous prime (47648729) and next prime (47648743).

It is a junction number, because it is equal to n+sod(n) for n = 47648691 and 47648700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80056 + ... + 80648.

Almost surely, 2^47648736 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 47648736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448992).

47648736 is an abundant number, since it is smaller than the sum of its proper divisors (97249248).

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

47648736 is a wasteful number, since it uses less digits than its factorization.

47648736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 47648736 is about 6902.8063858115. The cubic root of 47648736 is about 362.5354346653.

It can be divided in two parts, 47648 and 736, that added together give a palindrome (48384).

The spelling of 47648736 in words is "forty-seven million, six hundred forty-eight thousand, seven hundred thirty-six".