10805880 has 64 divisors (see below), whose sum is σ = 34331040. Its totient is φ = 2711552.

The previous prime is 10805849. The next prime is 10805891. The reversal of 10805880 is 8850801.

10805880 = T₁₁₁₉ + T₁₁₂₀ + ... + T₁₁₃₅.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609 + ... + 4688.

Almost surely, 2^10805880 is an apocalyptic number.

10805880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10805880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17165520).

10805880 is an abundant number, since it is smaller than the sum of its proper divisors (23525160).

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

10805880 is a wasteful number, since it uses less digits than its factorization.

10805880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 10805880 is about 3287.2298368079. The cubic root of 10805880 is about 221.0819976501.

It can be divided in two parts, 1080 and 5880, that multiplied together give a square (6350400 = 2520²).

The spelling of 10805880 in words is "ten million, eight hundred five thousand, eight hundred eighty".