1085834304 has 63 divisors (see below), whose sum is σ = 3114616453. Its totient is φ = 361681152.

The previous prime is 1085834273. The next prime is 1085834369. The reversal of 1085834304 is 4034385801.

The square root of 1085834304 is 32952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1073217600 + 12616704 = 32760^2 + 3552^2 .

It is a super-2 number, since 2×1085834304² = 2358072271486328832, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 790162 + ... + 791534.

Almost surely, 2^1085834304 is an apocalyptic number.

1085834304 is the 32952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085834304

1085834304 is an abundant number, since it is smaller than the sum of its proper divisors (2028782149).

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

1085834304 is an frugal number, since it uses more digits than its factorization.

1085834304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 1085834304 is about 1027.8297547465.

Multiplying 1085834304 by its sum of digits (36), we get a square (39090034944 = 197712²).

1085834304 divided by its sum of digits (36) gives a square (30162064 = 5492²).

The spelling of 1085834304 in words is "one billion, eighty-five million, eight hundred thirty-four thousand, three hundred four".