1085820 has 24 divisors (see below), whose sum is σ = 3040464. Its totient is φ = 289536.

The previous prime is 1085813. The next prime is 1085827. The reversal of 1085820 is 285801.

1085820 = T₄₆₁ + T₄₆₂ + ... + T₄₇₀.

It is an interprime number because it is at equal distance from previous prime (1085813) and next prime (1085827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8989 + ... + 9108.

It is an arithmetic number, because the mean of its divisors is an integer number (126686).

2^1085820 is an apocalyptic number.

1085820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085820 is an abundant number, since it is smaller than the sum of its proper divisors (1954644).

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

1085820 is a wasteful number, since it uses less digits than its factorization.

1085820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18107 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1085820 is about 1042.0268710547. The cubic root of 1085820 is about 102.7825241430.

It can be divided in two parts, 10858 and 20, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 1085820 in words is "one million, eighty-five thousand, eight hundred twenty".