1085331456 has 288 divisors, whose sum is σ = 3518620560. Its totient is φ = 319488000.

The previous prime is 1085331449. The next prime is 1085331523. The reversal of 1085331456 is 6541335801.

1085331456 is a `hidden beast` number, since 108 + 533 + 14 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1085331456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10745806 + ... + 10745906.

Almost surely, 2^1085331456 is an apocalyptic number.

1085331456 is a gapful number since it is divisible by the number (16) 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 1085331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759310280).

1085331456 is an abundant number, since it is smaller than the sum of its proper divisors (2433289104).

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

1085331456 is a wasteful number, since it uses less digits than its factorization.

1085331456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1085331456 is about 32944.3691091513. The cubic root of 1085331456 is about 1027.6710681838.

The spelling of 1085331456 in words is "one billion, eighty-five million, three hundred thirty-one thousand, four hundred fifty-six".