606240000 has 270 divisors, whose sum is σ = 2189413226. Its totient is φ = 161280000.

The previous prime is 606239989. The next prime is 606240001. The reversal of 606240000 is 42606.

It can be written as a sum of positive squares in 5 ways, for example, as 448084224 + 158155776 = 21168^2 + 12576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606240001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439790 + ... + 1440210.

Almost surely, 2^606240000 is an apocalyptic number.

606240000 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 606240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094706613).

606240000 is an abundant number, since it is smaller than the sum of its proper divisors (1583173226).

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

606240000 is an equidigital number, since it uses as much as digits as its factorization.

606240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 606240000 is about 24621.9414344198. The cubic root of 606240000 is about 846.3464871834.

Adding to 606240000 its reverse (42606), we get a palindrome (606282606).

The spelling of 606240000 in words is "six hundred six million, two hundred forty thousand".