4956560 has 80 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 1657344.

The previous prime is 4956547. The next prime is 4956563. The reversal of 4956560 is 656594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4956560.

It is not an unprimeable number, because it can be changed into a prime (4956563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29597 + ... + 29763.

Almost surely, 2^4956560 is an apocalyptic number.

4956560 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 4956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

4956560 is an abundant number, since it is smaller than the sum of its proper divisors (8542576).

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

4956560 is a wasteful number, since it uses less digits than its factorization.

4956560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 4956560 is about 2226.3333083795. Note that the first 4 decimals coincide. The cubic root of 4956560 is about 170.5009445458.

The spelling of 4956560 in words is "four million, nine hundred fifty-six thousand, five hundred sixty".