611424 has 72 divisors (see below), whose sum is σ = 1906632. Its totient is φ = 184320.

The previous prime is 611419. The next prime is 611441. The reversal of 611424 is 424116.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 611397 and 611406.

It is a congruent number.

It is an unprimeable number.

611424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3072 + ... + 3264.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2⁶¹¹⁴²⁴ 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 611424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953316).

611424 is an abundant number, since it is smaller than the sum of its proper divisors (1295208).

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

611424 is a wasteful number, since it uses less digits than its factorization.

611424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 611424 is about 781.9360587670. The cubic root of 611424 is about 84.8752032533.

It can be divided in two parts, 611 and 424, that added together give a triangular number (1035 = T₄₅).

The spelling of 611424 in words is "six hundred eleven thousand, four hundred twenty-four".