1085565888 has 140 divisors (see below), whose sum is σ = 3510683352. Its totient is φ = 328942080.

The previous prime is 1085565883. The next prime is 1085565911. The reversal of 1085565888 is 8885655801.

It is a happy number.

1085565888 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 56 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085565883) 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, 47506 + ... + 66542.

Almost surely, 2^1085565888 is an apocalyptic number.

1085565888 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 1085565888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755341676).

1085565888 is an abundant number, since it is smaller than the sum of its proper divisors (2425117464).

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

1085565888 is a wasteful number, since it uses less digits than its factorization.

1085565888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19072 (or 19053 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The square root of 1085565888 is about 32947.9269150579. The cubic root of 1085565888 is about 1027.7450553019.

The spelling of 1085565888 in words is "one billion, eighty-five million, five hundred sixty-five thousand, eight hundred eighty-eight".