1085825088 has 294 divisors, whose sum is σ = 3515527386. Its totient is φ = 331444224.

The previous prime is 1085825087. The next prime is 1085825093. The reversal of 1085825088 is 8805285801.

1085825088 is a `hidden beast` number, since 10 + 8 + 582 + 50 + 8 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 764411904 + 321413184 = 27648^2 + 17928^2 .

It is a super-2 number, since 2×1085825088² = 2358032243460415488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1085825087) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 29346606 + ... + 29346642.

Almost surely, 2^1085825088 is an apocalyptic number.

1085825088 is a gapful number since it is divisible by the number (18) 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 1085825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757763693).

1085825088 is an abundant number, since it is smaller than the sum of its proper divisors (2429702298).

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

1085825088 is an frugal number, since it uses more digits than its factorization.

1085825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 1085825088 is about 32951.8601599363. The cubic root of 1085825088 is about 1027.8268468424.

The spelling of 1085825088 in words is "one billion, eighty-five million, eight hundred twenty-five thousand, eighty-eight".