616201920 has 168 divisors, whose sum is σ = 2231227440. Its totient is φ = 155658240.

The previous prime is 616201897. The next prime is 616201933. The reversal of 616201920 is 29102616.

616201920 is a `hidden beast` number, since 6 + 1 + 620 + 19 + 20 = 666.

616201920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49090 + ... + 60350.

Almost surely, 2^616201920 is an apocalyptic number.

616201920 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 616201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115613720).

616201920 is an abundant number, since it is smaller than the sum of its proper divisors (1615025520).

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

616201920 is a wasteful number, since it uses less digits than its factorization.

616201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 616201920 is about 24823.4147530109. The cubic root of 616201920 is about 850.9571317486.

The spelling of 616201920 in words is "six hundred sixteen million, two hundred one thousand, nine hundred twenty".