4872960 has 180 divisors, whose sum is σ = 17807328. Its totient is φ = 1271808.

The previous prime is 4872929. The next prime is 4872961. The reversal of 4872960 is 692784.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4872961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103657 + ... + 103703.

Almost surely, 2^4872960 is an apocalyptic number.

4872960 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 4872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903664).

4872960 is an abundant number, since it is smaller than the sum of its proper divisors (12934368).

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

4872960 is an equidigital number, since it uses as much as digits as its factorization.

4872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4872960 is about 2207.4781992128. The cubic root of 4872960 is about 169.5369173249.

It can be divided in two parts, 4872 and 960, that added together give a cube (5832 = 18³).

The spelling of 4872960 in words is "four million, eight hundred seventy-two thousand, nine hundred sixty".