4967560 has 64 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1781760.

The previous prime is 4967549. The next prime is 4967579. The reversal of 4967560 is 657694.

4967560 = T₆₅ + T₆₆ + ... + T₃₁₀.

It can be written as a sum of positive squares in 8 ways, for example, as 30276 + 4937284 = 174^2 + 2222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21204 + ... + 21436.

Almost surely, 2^4967560 is an apocalyptic number.

4967560 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 4967560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4967560 is an abundant number, since it is smaller than the sum of its proper divisors (7415720).

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

4967560 is a wasteful number, since it uses less digits than its factorization.

4967560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 4967560 is about 2228.8023689865. The cubic root of 4967560 is about 170.6269811968.

The spelling of 4967560 in words is "four million, nine hundred sixty-seven thousand, five hundred sixty".