1086000 has 80 divisors (see below), whose sum is σ = 3520608. Its totient is φ = 288000.

The previous prime is 1085989. The next prime is 1086031. The reversal of 1086000 is 6801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5910 + ... + 6090.

2^1086000 is an apocalyptic number.

1086000 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 1086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760304).

1086000 is an abundant number, since it is smaller than the sum of its proper divisors (2434608).

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

1086000 is a wasteful number, since it uses less digits than its factorization.

1086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1086000 is about 1042.1132376090. The cubic root of 1086000 is about 102.7882033630.

The spelling of 1086000 in words is "one million, eighty-six thousand".