1006502720 has 112 divisors (see below), whose sum is σ = 2471684160. Its totient is φ = 390168576.

The previous prime is 1006502719. The next prime is 1006502767. The reversal of 1006502720 is 272056001.

1006502720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2655491 + ... + 2655869.

Almost surely, 2^1006502720 is an apocalyptic number.

1006502720 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 1006502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235842080).

1006502720 is an abundant number, since it is smaller than the sum of its proper divisors (1465181440).

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

1006502720 is a wasteful number, since it uses less digits than its factorization.

1006502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 1006502720 is about 31725.4270262829. The cubic root of 1006502720 is about 1002.1628918594.

Adding to 1006502720 its reverse (272056001), we get a palindrome (1278558721).

The spelling of 1006502720 in words is "one billion, six million, five hundred two thousand, seven hundred twenty".