4947360 has 96 divisors (see below), whose sum is σ = 17019072. Its totient is φ = 1198080.

The previous prime is 4947337. The next prime is 4947367. The reversal of 4947360 is 637494.

4947360 is digitally balanced in base 4, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4947367) 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, 4812 + ... + 5748.

It is an arithmetic number, because the mean of its divisors is an integer number (177282).

Almost surely, 2^4947360 is an apocalyptic number.

4947360 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 4947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509536).

4947360 is an abundant number, since it is smaller than the sum of its proper divisors (12071712).

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

4947360 is a wasteful number, since it uses less digits than its factorization.

4947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 4947360 is about 2224.2661711225. The cubic root of 4947360 is about 170.3953887972.

The spelling of 4947360 in words is "four million, nine hundred forty-seven thousand, three hundred sixty".