605088 has 72 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 182400.

The previous prime is 605071. The next prime is 605113. The reversal of 605088 is 880506.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×605088² = 732262975488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3073 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁶⁰⁵⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 605088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

605088 is an abundant number, since it is smaller than the sum of its proper divisors (1281888).

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

605088 is a wasteful number, since it uses less digits than its factorization.

605088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 605088 is about 777.8740257908. The cubic root of 605088 is about 84.5810060808.

It can be divided in two parts, 60508 and 8, that added together give a square (60516 = 246²).

The spelling of 605088 in words is "six hundred five thousand, eighty-eight".