1085950008 has 192 divisors, whose sum is σ = 3575426400. Its totient is φ = 293207040.

The previous prime is 1085949989. The next prime is 1085950027. The reversal of 1085950008 is 8000595801.

It is an interprime number because it is at equal distance from previous prime (1085949989) and next prime (1085950027).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 296766 + ... + 300402.

Almost surely, 2^1085950008 is an apocalyptic number.

1085950008 is a gapful number since it is divisible by the number (18) 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 1085950008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787713200).

1085950008 is an abundant number, since it is smaller than the sum of its proper divisors (2489476392).

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

1085950008 is a wasteful number, since it uses less digits than its factorization.

1085950008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1085950008 is about 32953.7555978071. The cubic root of 1085950008 is about 1027.8662611728.

The spelling of 1085950008 in words is "one billion, eighty-five million, nine hundred fifty thousand, eight".