606540960 has 240 divisors, whose sum is σ = 2267324136. Its totient is φ = 152174592.

The previous prime is 606540959. The next prime is 606540973. The reversal of 606540960 is 69045606.

It is a happy number.

606540960 is a `hidden beast` number, since 606 + 5 + 40 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 604569744 + 1971216 = 24588^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218944 + ... + 221696.

Almost surely, 2^606540960 is an apocalyptic number.

606540960 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 606540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133662068).

606540960 is an abundant number, since it is smaller than the sum of its proper divisors (1660783176).

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

606540960 is a wasteful number, since it uses less digits than its factorization.

606540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 606540960 is about 24628.0522981416. The cubic root of 606540960 is about 846.4865165998.

The spelling of 606540960 in words is "six hundred six million, five hundred forty thousand, nine hundred sixty".