4953680 has 40 divisors (see below), whose sum is σ = 12127200. Its totient is φ = 1876608.

The previous prime is 4953679. The next prime is 4953701. The reversal of 4953680 is 863594.

4953680 = T₇₁ + T₇₂ + ... + T₃₁₀.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4953680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (303180).

Almost surely, 2^4953680 is an apocalyptic number.

4953680 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 4953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063600).

4953680 is an abundant number, since it is smaller than the sum of its proper divisors (7173520).

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

4953680 is a wasteful number, since it uses less digits than its factorization.

4953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 4953680 is about 2225.6864109753. The cubic root of 4953680 is about 170.4679150618.

The spelling of 4953680 in words is "four million, nine hundred fifty-three thousand, six hundred eighty".