1085510880 has 144 divisors (see below), whose sum is σ = 3823956864. Its totient is φ = 280120320.

The previous prime is 1085510863. The next prime is 1085510887. The reversal of 1085510880 is 880155801.

1085510880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085510887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32482 + ... + 56798.

It is an arithmetic number, because the mean of its divisors is an integer number (26555256).

Almost surely, 2^1085510880 is an apocalyptic number.

1085510880 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 1085510880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911978432).

1085510880 is an abundant number, since it is smaller than the sum of its proper divisors (2738445984).

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

1085510880 is a wasteful number, since it uses less digits than its factorization.

1085510880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24369 (or 24358 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 1085510880 is about 32947.0921326906. The cubic root of 1085510880 is about 1027.7276956447.

The spelling of 1085510880 in words is "one billion, eighty-five million, five hundred ten thousand, eight hundred eighty".