4980960 has 96 divisors (see below), whose sum is σ = 17448480. Its totient is φ = 1327104.

The previous prime is 4980959. The next prime is 4980961. The reversal of 4980960 is 690894.

It is an interprime number because it is at equal distance from previous prime (4980959) and next prime (4980961).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3744 + ... + 4896.

It is an arithmetic number, because the mean of its divisors is an integer number (181755).

Almost surely, 2^4980960 is an apocalyptic number.

4980960 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 4980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724240).

4980960 is an abundant number, since it is smaller than the sum of its proper divisors (12467520).

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

4980960 is a wasteful number, since it uses less digits than its factorization.

4980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4980960 is about 2231.8064432204. The cubic root of 4980960 is about 170.7802656240.

The spelling of 4980960 in words is "four million, nine hundred eighty thousand, nine hundred sixty".