47631520 has 48 divisors (see below), whose sum is σ = 112984200. Its totient is φ = 18975744.

The previous prime is 47631509. The next prime is 47631523. The reversal of 47631520 is 2513674.

It can be written as a sum of positive squares in 4 ways, for example, as 31854736 + 15776784 = 5644^2 + 3972^2 .

It is not an unprimeable number, because it can be changed into a prime (47631523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55414 + ... + 56266.

Almost surely, 2^47631520 is an apocalyptic number.

47631520 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 47631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56492100).

47631520 is an abundant number, since it is smaller than the sum of its proper divisors (65352680).

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

47631520 is a wasteful number, since it uses less digits than its factorization.

47631520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 47631520 is about 6901.5592441129. The cubic root of 47631520 is about 362.4917667571.

The spelling of 47631520 in words is "forty-seven million, six hundred thirty-one thousand, five hundred twenty".