611200 has 48 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 243200.

The previous prime is 611189. The next prime is 611207. The reversal of 611200 is 2116.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3105 + ... + 3295.

It is an arithmetic number, because the mean of its divisors is an integer number (31620).

2⁶¹¹²⁰⁰ 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 611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

611200 is an abundant number, since it is smaller than the sum of its proper divisors (906560).

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

611200 is a wasteful number, since it uses less digits than its factorization.

611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 611200 is about 781.7928114277. The cubic root of 611200 is about 84.8648370875.

Adding to 611200 its reverse (2116), we get a palindrome (613316).

The spelling of 611200 in words is "six hundred eleven thousand, two hundred".