1002768 has 40 divisors (see below), whose sum is σ = 2791488. Its totient is φ = 308352.

The previous prime is 1002767. The next prime is 1002769. The reversal of 1002768 is 8672001.

It is an interprime number because it is at equal distance from previous prime (1002767) and next prime (1002769).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1002767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 1427.

2^1002768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395744).

1002768 is an abundant number, since it is smaller than the sum of its proper divisors (1788720).

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

1002768 is a wasteful number, since it uses less digits than its factorization.

1002768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1002768 is about 1001.3830435952. The cubic root of 1002768 is about 100.0921816660.

Adding to 1002768 its reverse (8672001), we get a palindrome (9674769).

It can be divided in two parts, 100276 and 8, that multiplied together give a palindrome (802208).

The spelling of 1002768 in words is "one million, two thousand, seven hundred sixty-eight".