611820240 has 240 divisors, whose sum is σ = 2040702720. Its totient is φ = 151557120.

The previous prime is 611820239. The next prime is 611820241. The reversal of 611820240 is 42028116.

It is an interprime number because it is at equal distance from previous prime (611820239) and next prime (611820241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 611820240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611820241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7744521 + ... + 7744599.

It is an arithmetic number, because the mean of its divisors is an integer number (8502928).

Almost surely, 2^611820240 is an apocalyptic number.

611820240 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 611820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020351360).

611820240 is an abundant number, since it is smaller than the sum of its proper divisors (1428882480).

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

611820240 is a wasteful number, since it uses less digits than its factorization.

611820240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 611820240 is about 24735.0003032141. Note that the first 3 decimals coincide. The cubic root of 611820240 is about 848.9353406149.

Adding to 611820240 its reverse (42028116), we get a palindrome (653848356).

The spelling of 611820240 in words is "six hundred eleven million, eight hundred twenty thousand, two hundred forty".