1085091840 has 468 divisors, whose sum is σ = 4451841264. Its totient is φ = 239468544.

The previous prime is 1085091829. The next prime is 1085091863. The reversal of 1085091840 is 481905801.

1085091840 is a `hidden beast` number, since 108 + 509 + 1 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1085091795 and 1085091804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37416946 + ... + 37416974.

Almost surely, 2^1085091840 is an apocalyptic number.

1085091840 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 1085091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225920632).

1085091840 is an abundant number, since it is smaller than the sum of its proper divisors (3366749424).

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

1085091840 is an equidigital number, since it uses as much as digits as its factorization.

1085091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1085091840 is about 32940.7322322987. The cubic root of 1085091840 is about 1027.5954339760.

The spelling of 1085091840 in words is "one billion, eighty-five million, ninety-one thousand, eight hundred forty".