618614920 has 288 divisors, whose sum is σ = 1901793600. Its totient is φ = 176774400.

The previous prime is 618614917. The next prime is 618614963. The reversal of 618614920 is 29416816.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 618614920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19955305 + ... + 19955335.

It is an arithmetic number, because the mean of its divisors is an integer number (6603450).

Almost surely, 2^618614920 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 618614920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950896800).

618614920 is an abundant number, since it is smaller than the sum of its proper divisors (1283178680).

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

618614920 is a wasteful number, since it uses less digits than its factorization.

618614920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 618614920 is about 24871.9705692975. The cubic root of 618614920 is about 852.0664462127.

The spelling of 618614920 in words is "six hundred eighteen million, six hundred fourteen thousand, nine hundred twenty".