320021010 has 64 divisors (see below), whose sum is σ = 856310400. Its totient is φ = 85046976.

The previous prime is 320020999. The next prime is 320021017. The reversal of 320021010 is 10120023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 320020983 and 320021001.

It is not an unprimeable number, because it can be changed into a prime (320021017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83721 + ... + 87459.

It is an arithmetic number, because the mean of its divisors is an integer number (13379850).

Almost surely, 2^320021010 is an apocalyptic number.

320021010 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 320021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428155200).

320021010 is an abundant number, since it is smaller than the sum of its proper divisors (536289390).

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

320021010 is a wasteful number, since it uses less digits than its factorization.

320021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 320021010 is about 17889.1310577121. The cubic root of 320021010 is about 684.0053477575.

Adding to 320021010 its reverse (10120023), we get a palindrome (330141033).

The spelling of 320021010 in words is "three hundred twenty million, twenty-one thousand, ten".