10586640 has 40 divisors (see below), whose sum is σ = 32819328. Its totient is φ = 2823040.

The previous prime is 10586627. The next prime is 10586659. The reversal of 10586640 is 4668501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10586640² = 224153892979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 10586598 and 10586607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21816 + ... + 22295.

Almost surely, 2^10586640 is an apocalyptic number.

10586640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10586640 is an abundant number, since it is smaller than the sum of its proper divisors (22232688).

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

10586640 is a wasteful number, since it uses less digits than its factorization.

10586640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44127 (or 44121 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10586640 is about 3253.7117266285. The cubic root of 10586640 is about 219.5765961236.

The spelling of 10586640 in words is "ten million, five hundred eighty-six thousand, six hundred forty".