1085994000 has 960 divisors, whose sum is σ = 5097530880. Its totient is φ = 215654400.

The previous prime is 1085993999. The next prime is 1085994053. The reversal of 1085994000 is 4995801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63881992 + ... + 63882008.

It is an arithmetic number, because the mean of its divisors is an integer number (5309928).

Almost surely, 2^1085994000 is an apocalyptic number.

1085994000 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 1085994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548765440).

1085994000 is an abundant number, since it is smaller than the sum of its proper divisors (4011536880).

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

1085994000 is a wasteful number, since it uses less digits than its factorization.

1085994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1085994000 is about 32954.4230718731. The cubic root of 1085994000 is about 1027.8801406583.

The spelling of 1085994000 in words is "one billion, eighty-five million, nine hundred ninety-four thousand".