611879120 has 80 divisors (see below), whose sum is σ = 1535794560. Its totient is φ = 226017792.

The previous prime is 611879089. The next prime is 611879129. The reversal of 611879120 is 21978116.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611879129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47627 + ... + 59093.

It is an arithmetic number, because the mean of its divisors is an integer number (19197432).

Almost surely, 2^611879120 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 611879120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767897280).

611879120 is an abundant number, since it is smaller than the sum of its proper divisors (923915440).

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

611879120 is a wasteful number, since it uses less digits than its factorization.

611879120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

The square root of 611879120 is about 24736.1904908577. The cubic root of 611879120 is about 848.9625728563.

It can be divided in two parts, 61187 and 9120, that added together give a palindrome (70307).

The spelling of 611879120 in words is "six hundred eleven million, eight hundred seventy-nine thousand, one hundred twenty".