1085481600 has 384 divisors, whose sum is σ = 4234550400. Its totient is φ = 239124480.

The previous prime is 1085481599. The next prime is 1085481653. The reversal of 1085481600 is 61845801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948522 + ... + 1949078.

It is an arithmetic number, because the mean of its divisors is an integer number (11027475).

Almost surely, 2^1085481600 is an apocalyptic number.

1085481600 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 1085481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117275200).

1085481600 is an abundant number, since it is smaller than the sum of its proper divisors (3149068800).

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

1085481600 is a wasteful number, since it uses less digits than its factorization.

1085481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1085481600 is about 32946.6477809200. The cubic root of 1085481600 is about 1027.7184550994.

The spelling of 1085481600 in words is "one billion, eighty-five million, four hundred eighty-one thousand, six hundred".