4963680 has 120 divisors (see below), whose sum is σ = 17563392. Its totient is φ = 1320192.

The previous prime is 4963667. The next prime is 4963687. The reversal of 4963680 is 863694.

4963680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 (4963687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12769 + ... + 13151.

Almost surely, 2^4963680 is an apocalyptic number.

4963680 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 4963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696).

4963680 is an abundant number, since it is smaller than the sum of its proper divisors (12599712).

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

4963680 is a wasteful number, since it uses less digits than its factorization.

4963680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4963680 is about 2227.9317763343. The cubic root of 4963680 is about 170.5825458922.

The spelling of 4963680 in words is "four million, nine hundred sixty-three thousand, six hundred eighty".