1085416680 has 128 divisors (see below), whose sum is σ = 3513196800. Its totient is φ = 267251712.

The previous prime is 1085416679. The next prime is 1085416681. The reversal of 1085416680 is 866145801.

It is an interprime number because it is at equal distance from previous prime (1085416679) and next prime (1085416681).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1085416681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103101 + ... + 113139.

It is an arithmetic number, because the mean of its divisors is an integer number (27446850).

Almost surely, 2^1085416680 is an apocalyptic number.

1085416680 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 1085416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756598400).

1085416680 is an abundant number, since it is smaller than the sum of its proper divisors (2427780120).

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

1085416680 is a wasteful number, since it uses less digits than its factorization.

1085416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10123 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1085416680 is about 32945.6625369714. The cubic root of 1085416680 is about 1027.6979662484.

The spelling of 1085416680 in words is "one billion, eighty-five million, four hundred sixteen thousand, six hundred eighty".