4968880 has 80 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1610496.

The previous prime is 4968871. The next prime is 4968881. The reversal of 4968880 is 888694.

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 (4968881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10407 + ... + 10873.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^4968880 is an apocalyptic number.

4968880 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 4968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4968880 is an abundant number, since it is smaller than the sum of its proper divisors (8958800).

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

4968880 is a wasteful number, since it uses less digits than its factorization.

4968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 4968880 is about 2229.0984724772. The cubic root of 4968880 is about 170.6420930874.

The spelling of 4968880 in words is "four million, nine hundred sixty-eight thousand, eight hundred eighty".