1032680753 has 12 divisors (see below), whose sum is σ = 1120372848. Its totient is φ = 951415920.

The previous prime is 1032680743. The next prime is 1032680777. The reversal of 1032680753 is 3570862301.

It is not a de Polignac number, because 1032680753 - 2²⁰ = 1031632177 is a prime.

It is a super-3 number, since 3×1032680753³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1032680743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86858 + ... + 98028.

It is an arithmetic number, because the mean of its divisors is an integer number (93364404).

Almost surely, 2^1032680753 is an apocalyptic number.

1032680753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032680753 is a deficient number, since it is larger than the sum of its proper divisors (87692095).

1032680753 is a wasteful number, since it uses less digits than its factorization.

1032680753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11744 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 1032680753 is about 32135.3505193268. The cubic root of 1032680753 is about 1010.7770228815. Note that the first 3 decimals are identical.

The spelling of 1032680753 in words is "one billion, thirty-two million, six hundred eighty thousand, seven hundred fifty-three".