47631744 has 96 divisors (see below), whose sum is σ = 138434400. Its totient is φ = 15719424.

The previous prime is 47631743. The next prime is 47631757. The reversal of 47631744 is 44713674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47631699 and 47631708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47631743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199177 + ... + 199415.

It is an arithmetic number, because the mean of its divisors is an integer number (1442025).

Almost surely, 2^47631744 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 47631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69217200).

47631744 is an abundant number, since it is smaller than the sum of its proper divisors (90802656).

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

47631744 is a wasteful number, since it uses less digits than its factorization.

47631744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 47631744 is about 6901.5754723107. The cubic root of 47631744 is about 362.4923349945.

The spelling of 47631744 in words is "forty-seven million, six hundred thirty-one thousand, seven hundred forty-four".