47511360 has 336 divisors, whose sum is σ = 186391296. Its totient is φ = 11446272.

The previous prime is 47511349. The next prime is 47511361. The reversal of 47511360 is 6311574.

47511360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47511361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010857 + ... + 1010903.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 2^47511360 is an apocalyptic number.

47511360 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 47511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195648).

47511360 is an abundant number, since it is smaller than the sum of its proper divisors (138879936).

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

47511360 is a wasteful number, since it uses less digits than its factorization.

47511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 47511360 is about 6892.8484677962. The cubic root of 47511360 is about 362.1866908383.

The spelling of 47511360 in words is "forty-seven million, five hundred eleven thousand, three hundred sixty".