1027086000 has 160 divisors (see below), whose sum is σ = 3359356416. Its totient is φ = 269920000.

The previous prime is 1027085989. The next prime is 1027086007. The reversal of 1027086000 is 6807201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1027086007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424795 + ... + 427205.

Almost surely, 2^1027086000 is an apocalyptic number.

1027086000 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 1027086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679678208).

1027086000 is an abundant number, since it is smaller than the sum of its proper divisors (2332270416).

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

1027086000 is a wasteful number, since it uses less digits than its factorization.

1027086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1027086000 is about 32048.1824757661. The cubic root of 1027086000 is about 1008.9483547728.

The spelling of 1027086000 in words is "one billion, twenty-seven million, eighty-six thousand".