4560920 has 96 divisors (see below), whose sum is σ = 12927600. Its totient is φ = 1435392.

The previous prime is 4560901. The next prime is 4560929. The reversal of 4560920 is 290654.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4560920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25391 + ... + 25569.

Almost surely, 2^4560920 is an apocalyptic number.

4560920 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 4560920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463800).

4560920 is an abundant number, since it is smaller than the sum of its proper divisors (8366680).

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

4560920 is a wasteful number, since it uses less digits than its factorization.

4560920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 4560920 is about 2135.6310542788. The cubic root of 4560920 is about 165.8380381877.

The spelling of 4560920 in words is "four million, five hundred sixty thousand, nine hundred twenty".