1006080320 has 224 divisors, whose sum is σ = 2872435200. Its totient is φ = 328458240.

The previous prime is 1006080319. The next prime is 1006080323. The reversal of 1006080320 is 230806001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1006080320² = 2024395220582604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1006080292 and 1006080301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006080323) 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, 5055581 + ... + 5055779.

Almost surely, 2^1006080320 is an apocalyptic number.

1006080320 is a gapful number since it is divisible by the number (10) 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 1006080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436217600).

1006080320 is an abundant number, since it is smaller than the sum of its proper divisors (1866354880).

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

1006080320 is a wasteful number, since it uses less digits than its factorization.

1006080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1006080320 is about 31718.7692068907. The cubic root of 1006080320 is about 1002.0226793432.

Adding to 1006080320 its reverse (230806001), we get a palindrome (1236886321).

The spelling of 1006080320 in words is "one billion, six million, eighty thousand, three hundred twenty".