611130240 has 384 divisors, whose sum is σ = 2520460800. Its totient is φ = 133410816.

The previous prime is 611130173. The next prime is 611130241. The reversal of 611130240 is 42031116.

It is a happy number.

611130240 is a `hidden beast` number, since 611 + 1 + 30 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611130241) 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, 927031 + ... + 927689.

It is an arithmetic number, because the mean of its divisors is an integer number (6563700).

Almost surely, 2^611130240 is an apocalyptic number.

611130240 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 611130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260230400).

611130240 is an abundant number, since it is smaller than the sum of its proper divisors (1909330560).

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

611130240 is a wasteful number, since it uses less digits than its factorization.

611130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 611130240 is about 24721.0485214523. The cubic root of 611130240 is about 848.6160825006.

Adding to 611130240 its reverse (42031116), we get a palindrome (653161356).

The spelling of 611130240 in words is "six hundred eleven million, one hundred thirty thousand, two hundred forty".