4760960 has 64 divisors (see below), whose sum is σ = 11713680. Its totient is φ = 1849344.

The previous prime is 4760941. The next prime is 4760981. The reversal of 4760960 is 690674.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27434 + ... + 27606.

Almost surely, 2^4760960 is an apocalyptic number.

4760960 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 4760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856840).

4760960 is an abundant number, since it is smaller than the sum of its proper divisors (6952720).

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

4760960 is a wasteful number, since it uses less digits than its factorization.

4760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 4760960 is about 2181.9624194747. The cubic root of 4760960 is about 168.2279596265.

The spelling of 4760960 in words is "four million, seven hundred sixty thousand, nine hundred sixty".