491568 has 120 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 120960.

The previous prime is 491539. The next prime is 491581. The reversal of 491568 is 865194.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is an unprimeable number.

491568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25863 + ... + 25881.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2⁴⁹¹⁵⁶⁸ is an apocalyptic number.

491568 is a gapful number since it is divisible by the number (48) 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 491568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848160).

491568 is an abundant number, since it is smaller than the sum of its proper divisors (1204752).

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

491568 is a wasteful number, since it uses less digits than its factorization.

491568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 491568 is about 701.1191054307. The cubic root of 491568 is about 78.9213552659.

The spelling of 491568 in words is "four hundred ninety-one thousand, five hundred sixty-eight".