10980585 has 48 divisors (see below), whose sum is σ = 23736960. Its totient is φ = 4561920.

The previous prime is 10980577. The next prime is 10980611. The reversal of 10980585 is 58508901.

It is not a de Polignac number, because 10980585 - 2³ = 10980577 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1881 + ... + 5049.

It is an arithmetic number, because the mean of its divisors is an integer number (494520).

Almost surely, 2^10980585 is an apocalyptic number.

10980585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10980585 is an abundant number, since it is smaller than the sum of its proper divisors (12756375).

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

10980585 is a wasteful number, since it uses less digits than its factorization.

10980585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 10980585 is about 3313.6965763328. The cubic root of 10980585 is about 222.2670878394.

The spelling of 10980585 in words is "ten million, nine hundred eighty thousand, five hundred eighty-five".