4991120 has 40 divisors (see below), whose sum is σ = 11751480. Its totient is φ = 1971200.

The previous prime is 4991101. The next prime is 4991123. The reversal of 4991120 is 211994.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 4376464 = 784^2 + 2092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4991120² = 49822557708800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4991120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4991123) by changing a digit.

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, 6770 + ... + 7470.

It is an arithmetic number, because the mean of its divisors is an integer number (293787).

Almost surely, 2^4991120 is an apocalyptic number.

4991120 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 4991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875740).

4991120 is an abundant number, since it is smaller than the sum of its proper divisors (6760360).

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

4991120 is a wasteful number, since it uses less digits than its factorization.

4991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 4991120 is about 2234.0814667330. The cubic root of 4991120 is about 170.8963041039.

The spelling of 4991120 in words is "four million, nine hundred ninety-one thousand, one hundred twenty".