1003706260920 has 1536 divisors, whose sum is σ = 4130213068800. Its totient is φ = 216334540800.

The previous prime is 1003706260849. The next prime is 1003706260961. The reversal of 1003706260920 is 290626073001.

1003706260920 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 7 + 0 + 626 + 0 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2648301291 + ... + 2648301669.

It is an arithmetic number, because the mean of its divisors is an integer number (2688940800).

Almost surely, 2^{1003706260920} is an apocalyptic number.

1003706260920 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 1003706260920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065106534400).

1003706260920 is an abundant number, since it is smaller than the sum of its proper divisors (3126506807880).

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

1003706260920 is a wasteful number, since it uses less digits than its factorization.

1003706260920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1003706260920 in words is "one trillion, three billion, seven hundred six million, two hundred sixty thousand, nine hundred twenty".