4968960 has 80 divisors (see below), whose sum is σ = 15909696. Its totient is φ = 1323008.

The previous prime is 4968917. The next prime is 4968967. The reversal of 4968960 is 698694.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4968967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7357 + ... + 8003.

Almost surely, 2^4968960 is an apocalyptic number.

4968960 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 4968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954848).

4968960 is an abundant number, since it is smaller than the sum of its proper divisors (10940736).

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

4968960 is an equidigital number, since it uses as much as digits as its factorization.

4968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4968960 is about 2229.1164168791. The cubic root of 4968960 is about 170.6430088735.

The spelling of 4968960 in words is "four million, nine hundred sixty-eight thousand, nine hundred sixty".