1006313980 has 96 divisors (see below), whose sum is σ = 2609712000. Its totient is φ = 324688896.

The previous prime is 1006313953. The next prime is 1006313983. The reversal of 1006313980 is 893136001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006313983) 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, 112306 + ... + 120934.

It is an arithmetic number, because the mean of its divisors is an integer number (27184500).

Almost surely, 2^1006313980 is an apocalyptic number.

1006313980 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 1006313980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304856000).

1006313980 is an abundant number, since it is smaller than the sum of its proper divisors (1603398020).

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

1006313980 is a wasteful number, since it uses less digits than its factorization.

1006313980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8676 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1006313980 is about 31722.4523011699. The cubic root of 1006313980 is about 1002.1002458792.

Adding to 1006313980 its reverse (893136001), we get a palindrome (1899449981).

The spelling of 1006313980 in words is "one billion, six million, three hundred thirteen thousand, nine hundred eighty".