47861360 has 40 divisors (see below), whose sum is σ = 112701120. Its totient is φ = 18899712.

The previous prime is 47861357. The next prime is 47861371. The reversal of 47861360 is 6316874.

47861360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 47861360.

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 7 ways as a sum of consecutive naturals, for example, 2534 + ... + 10106.

It is an arithmetic number, because the mean of its divisors is an integer number (2817528).

Almost surely, 2^47861360 is an apocalyptic number.

47861360 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 47861360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56350560).

47861360 is an abundant number, since it is smaller than the sum of its proper divisors (64839760).

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

47861360 is a wasteful number, since it uses less digits than its factorization.

47861360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 47861360 is about 6918.1905148673. The cubic root of 47861360 is about 363.0738844868.

The spelling of 47861360 in words is "forty-seven million, eight hundred sixty-one thousand, three hundred sixty".