611280 has 80 divisors (see below), whose sum is σ = 2112960. Its totient is φ = 162432.

The previous prime is 611279. The next prime is 611293. The reversal of 611280 is 82116.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (26412).

2⁶¹¹²⁸⁰ is an apocalyptic number.

611280 is a gapful number since it is divisible by the number (60) 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 611280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056480).

611280 is an abundant number, since it is smaller than the sum of its proper divisors (1501680).

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

611280 is a wasteful number, since it uses less digits than its factorization.

611280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 611280 is about 781.8439742046. The cubic root of 611280 is about 84.8685395803.

Adding to 611280 its reverse (82116), we get a palindrome (693396).

The spelling of 611280 in words is "six hundred eleven thousand, two hundred eighty".