1085607792 has 160 divisors (see below), whose sum is σ = 3187296000. Its totient is φ = 353721600.

The previous prime is 1085607781. The next prime is 1085607793. The reversal of 1085607792 is 2977065801.

1085607792 is a `hidden beast` number, since 10 + 8 + 560 + 7 + 79 + 2 = 666.

It is a super-2 number, since 2×1085607792² = 2357088556102230528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085607793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6064759 + ... + 6064937.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^1085607792 is an apocalyptic number.

1085607792 is a gapful number since it is divisible by the number (12) 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 1085607792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

1085607792 is an abundant number, since it is smaller than the sum of its proper divisors (2101688208).

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

1085607792 is a wasteful number, since it uses less digits than its factorization.

1085607792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1085607792 is about 32948.5628214646. The cubic root of 1085607792 is about 1027.7582791498.

The spelling of 1085607792 in words is "one billion, eighty-five million, six hundred seven thousand, seven hundred ninety-two".