47561360 has 120 divisors (see below), whose sum is σ = 140455296. Its totient is φ = 14810880.

The previous prime is 47561341. The next prime is 47561369. The reversal of 47561360 is 6316574.

47561360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47561369) 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 23 ways as a sum of consecutive naturals, for example, 42569 + ... + 43671.

Almost surely, 2^47561360 is an apocalyptic number.

47561360 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 47561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227648).

47561360 is an abundant number, since it is smaller than the sum of its proper divisors (92893936).

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

47561360 is a wasteful number, since it uses less digits than its factorization.

47561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 47561360 is about 6896.4744616362. The cubic root of 47561360 is about 362.3136989588.

It can be divided in two parts, 4756 and 1360, that added together give a palindrome (6116).

The spelling of 47561360 in words is "forty-seven million, five hundred sixty-one thousand, three hundred sixty".