4618560 has 112 divisors (see below), whose sum is σ = 15581376. Its totient is φ = 1155072.

The previous prime is 4618541. The next prime is 4618567. The reversal of 4618560 is 658164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4618567) 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, 16179 + ... + 16461.

Almost surely, 2^4618560 is an apocalyptic number.

4618560 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 4618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790688).

4618560 is an abundant number, since it is smaller than the sum of its proper divisors (10962816).

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

4618560 is a wasteful number, since it uses less digits than its factorization.

4618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4618560 is about 2149.0835255988. The cubic root of 4618560 is about 166.5337250985.

The spelling of 4618560 in words is "four million, six hundred eighteen thousand, five hundred sixty".