1007130320 has 240 divisors, whose sum is σ = 2923622400. Its totient is φ = 322430976.

The previous prime is 1007130317. The next prime is 1007130353. The reversal of 1007130320 is 230317001.

It is a super-2 number, since 2×1007130320² = 2028622962926604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 7930097 + ... + 7930223.

It is an arithmetic number, because the mean of its divisors is an integer number (12181760).

Almost surely, 2^1007130320 is an apocalyptic number.

1007130320 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 1007130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461811200).

1007130320 is an abundant number, since it is smaller than the sum of its proper divisors (1916492080).

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

1007130320 is a wasteful number, since it uses less digits than its factorization.

1007130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 1007130320 is about 31735.3166046914. The cubic root of 1007130320 is about 1002.3711465536.

Adding to 1007130320 its reverse (230317001), we get a palindrome (1237447321).

The spelling of 1007130320 in words is "one billion, seven million, one hundred thirty thousand, three hundred twenty".