47781360 has 160 divisors (see below), whose sum is σ = 179631360. Its totient is φ = 11577600.

The previous prime is 47781343. The next prime is 47781397. The reversal of 47781360 is 6318774.

47781360 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 (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22755 + ... + 24765.

It is an arithmetic number, because the mean of its divisors is an integer number (1122696).

Almost surely, 2^47781360 is an apocalyptic number.

47781360 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 47781360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89815680).

47781360 is an abundant number, since it is smaller than the sum of its proper divisors (131850000).

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

47781360 is a wasteful number, since it uses less digits than its factorization.

47781360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

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

The square root of 47781360 is about 6912.4062380621. The cubic root of 47781360 is about 362.8714796717.

The spelling of 47781360 in words is "forty-seven million, seven hundred eighty-one thousand, three hundred sixty".