4959680 has 56 divisors (see below), whose sum is σ = 12893040. Its totient is φ = 1802240.

The previous prime is 4959679. The next prime is 4959701. The reversal of 4959680 is 869594.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2816 + ... + 4224.

Almost surely, 2^4959680 is an apocalyptic number.

4959680 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 4959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446520).

4959680 is an abundant number, since it is smaller than the sum of its proper divisors (7933360).

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

4959680 is a wasteful number, since it uses less digits than its factorization.

4959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 4959680 is about 2227.0339018524. The cubic root of 4959680 is about 170.5367120517.

The spelling of 4959680 in words is "four million, nine hundred fifty-nine thousand, six hundred eighty".