320066010 has 96 divisors (see below), whose sum is σ = 937198080. Its totient is φ = 75081600.

The previous prime is 320065981. The next prime is 320066017. The reversal of 320066010 is 10660023.

It is a happy number.

320066010 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 660 + 1 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (320066017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25476 + ... + 35904.

It is an arithmetic number, because the mean of its divisors is an integer number (9762480).

Almost surely, 2^320066010 is an apocalyptic number.

320066010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320066010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468599040).

320066010 is an abundant number, since it is smaller than the sum of its proper divisors (617132070).

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

320066010 is a wasteful number, since it uses less digits than its factorization.

320066010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 320066010 is about 17890.3887604490. The cubic root of 320066010 is about 684.0374069006.

The spelling of 320066010 in words is "three hundred twenty million, sixty-six thousand, ten".