4966560 has 72 divisors (see below), whose sum is σ = 16953300. Its totient is φ = 1324032.

The previous prime is 4966553. The next prime is 4966571. The reversal of 4966560 is 656694.

It is a happy number.

4966560 is a `hidden beast` number, since 4 + 96 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 853776 = 2028^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285 + ... + 3164.

Almost surely, 2^4966560 is an apocalyptic number.

4966560 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 4966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476650).

4966560 is an abundant number, since it is smaller than the sum of its proper divisors (11986740).

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

4966560 is a wasteful number, since it uses less digits than its factorization.

4966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4966560 is about 2228.5780219683. The cubic root of 4966560 is about 170.6155310126.

It can be divided in two parts, 496 and 6560, that added together give a square (7056 = 84²).

The spelling of 4966560 in words is "four million, nine hundred sixty-six thousand, five hundred sixty".