1085322240 has 220 divisors, whose sum is σ = 3890667396. Its totient is φ = 289308672.

The previous prime is 1085322223. The next prime is 1085322241. The reversal of 1085322240 is 422235801.

1085322240 is a `hidden beast` number, since 108 + 532 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 288728064 = 28224^2 + 16992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085322241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413412 + ... + 416028.

Almost surely, 2^1085322240 is an apocalyptic number.

1085322240 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 1085322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945333698).

1085322240 is an abundant number, since it is smaller than the sum of its proper divisors (2805345156).

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

1085322240 is an equidigital number, since it uses as much as digits as its factorization.

1085322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1085322240 is about 32944.2292366964. The cubic root of 1085322240 is about 1027.6681593817.

The spelling of 1085322240 in words is "one billion, eighty-five million, three hundred twenty-two thousand, two hundred forty".