1085952816 has 120 divisors (see below), whose sum is σ = 3378700416. Its totient is φ = 323343360.

The previous prime is 1085952779. The next prime is 1085952839. The reversal of 1085952816 is 6182595801.

It is a happy number.

1085952816 is a `hidden beast` number, since 108 + 5 + 9 + 528 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48676 + ... + 67388.

Almost surely, 2^1085952816 is an apocalyptic number.

1085952816 is a gapful number since it is divisible by the number (16) 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 1085952816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689350208).

1085952816 is an abundant number, since it is smaller than the sum of its proper divisors (2292747600).

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

1085952816 is a wasteful number, since it uses less digits than its factorization.

1085952816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18762 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1085952816 is about 32953.7982029386. The cubic root of 1085952816 is about 1027.8671471086.

The spelling of 1085952816 in words is "one billion, eighty-five million, nine hundred fifty-two thousand, eight hundred sixteen".