315420066 has 96 divisors (see below), whose sum is σ = 776608560. Its totient is φ = 91832832.

The previous prime is 315420047. The next prime is 315420103. The reversal of 315420066 is 660024513.

It can be written as a sum of positive squares in 8 ways, for example, as 195188841 + 120231225 = 13971^2 + 10965^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359220 + ... + 360096.

Almost surely, 2^315420066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315420066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388304280).

315420066 is an abundant number, since it is smaller than the sum of its proper divisors (461188494).

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

315420066 is a wasteful number, since it uses less digits than its factorization.

315420066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 315420066 is about 17760.0694255400. The cubic root of 315420066 is about 680.7115288655.

Adding to 315420066 its reverse (660024513), we get a palindrome (975444579).

It can be divided in two parts, 3154 and 20066, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 315420066 in words is "three hundred fifteen million, four hundred twenty thousand, sixty-six".