1085700 has 144 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 220800.

The previous prime is 1085687. The next prime is 1085719. The reversal of 1085700 is 75801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23077 + ... + 23123.

It is an arithmetic number, because the mean of its divisors is an integer number (27776).

2^1085700 is an apocalyptic number.

1085700 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 1085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1085700 is an abundant number, since it is smaller than the sum of its proper divisors (2914044).

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

1085700 is a wasteful number, since it uses less digits than its factorization.

1085700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1085700 is about 1041.9692893747. The cubic root of 1085700 is about 102.7787376476.

The spelling of 1085700 in words is "one million, eighty-five thousand, seven hundred".