618117120 has 288 divisors, whose sum is σ = 2261422800. Its totient is φ = 155713536.

The previous prime is 618117109. The next prime is 618117121. The reversal of 618117120 is 21711816.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618117121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750864 + ... + 1751216.

Almost surely, 2^618117120 is an apocalyptic number.

618117120 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 618117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130711400).

618117120 is an abundant number, since it is smaller than the sum of its proper divisors (1643305680).

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

618117120 is a wasteful number, since it uses less digits than its factorization.

618117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 618117120 is about 24861.9613063813. The cubic root of 618117120 is about 851.8378319931.

Adding to 618117120 its reverse (21711816), we get a palindrome (639828936).

The spelling of 618117120 in words is "six hundred eighteen million, one hundred seventeen thousand, one hundred twenty".