47314560 has 128 divisors (see below), whose sum is σ = 158875200. Its totient is φ = 11943936.

The previous prime is 47314559. The next prime is 47314567. The reversal of 47314560 is 6541374.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47314567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35832 + ... + 37128.

Almost surely, 2^47314560 is an apocalyptic number.

47314560 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 47314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79437600).

47314560 is an abundant number, since it is smaller than the sum of its proper divisors (111560640).

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

47314560 is a wasteful number, since it uses less digits than its factorization.

47314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 47314560 is about 6878.5579884159. The cubic root of 47314560 is about 361.6859194897.

It can be divided in two parts, 47314 and 560, that added together give a palindrome (47874).

The spelling of 47314560 in words is "forty-seven million, three hundred fourteen thousand, five hundred sixty".