1011003768 has 80 divisors (see below), whose sum is σ = 2857013280. Its totient is φ = 333994752.

The previous prime is 1011003767. The next prime is 1011003781. The reversal of 1011003768 is 8673001101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011003767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66321 + ... + 80127.

It is an arithmetic number, because the mean of its divisors is an integer number (35712666).

Almost surely, 2^1011003768 is an apocalyptic number.

1011003768 is a gapful number since it is divisible by the number (18) 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 1011003768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428506640).

1011003768 is an abundant number, since it is smaller than the sum of its proper divisors (1846009512).

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

1011003768 is a wasteful number, since it uses less digits than its factorization.

1011003768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1011003768 is about 31796.2854434288. The cubic root of 1011003768 is about 1003.6545506564.

Adding to 1011003768 its reverse (8673001101), we get a palindrome (9684004869).

The spelling of 1011003768 in words is "one billion, eleven million, three thousand, seven hundred sixty-eight".