245616120 has 96 divisors (see below), whose sum is σ = 800186400. Its totient is φ = 65339136.

The previous prime is 245616089. The next prime is 245616121. The reversal of 245616120 is 21616542.

245616120 is a `hidden beast` number, since 2 + 45 + 6 + 1 + 612 + 0 = 666.

245616120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245616121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295866 + ... + 296694.

It is an arithmetic number, because the mean of its divisors is an integer number (8335275).

Almost surely, 2^245616120 is an apocalyptic number.

245616120 is a gapful number since it is divisible by the number (20) 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 245616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400093200).

245616120 is an abundant number, since it is smaller than the sum of its proper divisors (554570280).

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

245616120 is a wasteful number, since it uses less digits than its factorization.

245616120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 245616120 is about 15672.1447160240. The cubic root of 245616120 is about 626.2565610605.

The spelling of 245616120 in words is "two hundred forty-five million, six hundred sixteen thousand, one hundred twenty".