611600 has 60 divisors (see below), whose sum is σ = 1614480. Its totient is φ = 220800.

The previous prime is 611587. The next prime is 611603. The reversal of 611600 is 6116.

Added to its reverse (6116) it gives a triangular number (617716 = T₁₁₁₁).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (611603) 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 11 ways as a sum of consecutive naturals, for example, 4331 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (26908).

2⁶¹¹⁶⁰⁰ 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 611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807240).

611600 is an abundant number, since it is smaller than the sum of its proper divisors (1002880).

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

611600 is a wasteful number, since it uses less digits than its factorization.

611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 611600 is about 782.0485918407. The cubic root of 611600 is about 84.8833463219.

Adding to 611600 its reverse (6116), we get a palindrome (617716).

Multiplying 611600 by its reverse (6116), we get a square (3740545600 = 61160²).

611600 divided by its reverse (6116) gives a square (100 = 10²).

It can be divided in two parts, 61 and 1600, that added together give a palindrome (1661).

The spelling of 611600 in words is "six hundred eleven thousand, six hundred".