1085603904 has 448 divisors, whose sum is σ = 4096512000. Its totient is φ = 273715200.

The previous prime is 1085603903. The next prime is 1085603923. The reversal of 1085603904 is 4093065801.

1085603904 is a `hidden beast` number, since 1 + 0 + 8 + 560 + 3 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (1085603903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5455197 + ... + 5455395.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^1085603904 is an apocalyptic number.

1085603904 is a gapful number since it is divisible by the number (14) 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 1085603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1085603904 is an abundant number, since it is smaller than the sum of its proper divisors (3010908096).

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

1085603904 is a wasteful number, since it uses less digits than its factorization.

1085603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1085603904 is about 32948.5038203558. The cubic root of 1085603904 is about 1027.7570522092.

The spelling of 1085603904 in words is "one billion, eighty-five million, six hundred three thousand, nine hundred four".