606090115800 has 288 divisors, whose sum is σ = 2194572350880. Its totient is φ = 149018112000.

The previous prime is 606090115747. The next prime is 606090115849. The reversal of 606090115800 is 8511090606.

606090115800 is a `hidden beast` number, since 6 + 0 + 60 + 9 + 0 + 11 + 580 + 0 = 666.

606090115800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20741200 + ... + 20770400.

It is an arithmetic number, because the mean of its divisors is an integer number (7620042885).

Almost surely, 2^606090115800 is an apocalyptic number.

606090115800 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 606090115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097286175440).

606090115800 is an abundant number, since it is smaller than the sum of its proper divisors (1588482235080).

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

606090115800 is a wasteful number, since it uses less digits than its factorization.

606090115800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30123 (or 30111 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 606090115800 in words is "six hundred six billion, ninety million, one hundred fifteen thousand, eight hundred".