611166240 has 144 divisors (see below), whose sum is σ = 2153039616. Its totient is φ = 157708800.

The previous prime is 611166187. The next prime is 611166307. The reversal of 611166240 is 42661116.

611166240 is a `hidden beast` number, since 611 + 1 + 6 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37795 + ... + 51485.

It is an arithmetic number, because the mean of its divisors is an integer number (14951664).

Almost surely, 2^611166240 is an apocalyptic number.

611166240 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 611166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076519808).

611166240 is an abundant number, since it is smaller than the sum of its proper divisors (1541873376).

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

611166240 is a wasteful number, since it uses less digits than its factorization.

611166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 611166240 is about 24721.7766351854. The cubic root of 611166240 is about 848.6327453858.

The spelling of 611166240 in words is "six hundred eleven million, one hundred sixty-six thousand, two hundred forty".