10640589 has 32 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 6200064.

The previous prime is 10640587. The next prime is 10640599. The reversal of 10640589 is 98504601.

10640589 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10640589 - 2¹ = 10640587 is a prime.

It is a super-2 number, since 2×10640589² = 226444268533842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76482 + ... + 76620.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 2^10640589 is an apocalyptic number.

10640589 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10640589 is a deficient number, since it is larger than the sum of its proper divisors (5487411).

10640589 is a wasteful number, since it uses less digits than its factorization.

10640589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10640589 is about 3261.9915695783. The cubic root of 10640589 is about 219.9489482093.

The spelling of 10640589 in words is "ten million, six hundred forty thousand, five hundred eighty-nine".