1000713360 has 80 divisors (see below), whose sum is σ = 3107836800. Its totient is φ = 266373120.

The previous prime is 1000713277. The next prime is 1000713377. The reversal of 1000713360 is 633170001.

1000713360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140280 + ... + 147240.

It is an arithmetic number, because the mean of its divisors is an integer number (38847960).

Almost surely, 2^1000713360 is an apocalyptic number.

1000713360 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 1000713360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553918400).

1000713360 is an abundant number, since it is smaller than the sum of its proper divisors (2107123440).

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

1000713360 is a wasteful number, since it uses less digits than its factorization.

1000713360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1000713360 is about 31634.0538028246. The cubic root of 1000713360 is about 1000.2377301466.

Adding to 1000713360 its reverse (633170001), we get a palindrome (1633883361).

The spelling of 1000713360 in words is "one billion, seven hundred thirteen thousand, three hundred sixty".