47871360 has 96 divisors (see below), whose sum is σ = 165325680. Its totient is φ = 12764160.

The previous prime is 47871359. The next prime is 47871367. The reversal of 47871360 is 6317874.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (47871367) 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, 1605 + ... + 9915.

Almost surely, 2^47871360 is an apocalyptic number.

47871360 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 47871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82662840).

47871360 is an abundant number, since it is smaller than the sum of its proper divisors (117454320).

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

47871360 is a wasteful number, since it uses less digits than its factorization.

47871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8336 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 47871360 is about 6918.9132094571. The cubic root of 47871360 is about 363.0991692260.

The spelling of 47871360 in words is "forty-seven million, eight hundred seventy-one thousand, three hundred sixty".