2260608 has 96 divisors (see below), whose sum is σ = 7107360. Its totient is φ = 623616.

The previous prime is 2260603. The next prime is 2260627. The reversal of 2260608 is 8060622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2260608² = 10220697059328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2260603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77938 + ... + 77966.

It is an arithmetic number, because the mean of its divisors is an integer number (74035).

2^2260608 is an apocalyptic number.

2260608 is a gapful number since it is divisible by the number (28) 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 2260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553680).

2260608 is an abundant number, since it is smaller than the sum of its proper divisors (4846752).

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

2260608 is an equidigital number, since it uses as much as digits as its factorization.

2260608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2260608 is about 1503.5318420306. The cubic root of 2260608 is about 131.2426789567.

The spelling of 2260608 in words is "two million, two hundred sixty thousand, six hundred eight".