1085232816 has 100 divisors (see below), whose sum is σ = 3153360672. Its totient is φ = 360319104.

The previous prime is 1085232767. The next prime is 1085232817. The reversal of 1085232816 is 6182325801.

It is a happy number.

1085232816 is a `hidden beast` number, since 108 + 523 + 28 + 1 + 6 = 666.

It is a super-3 number, since 3×1085232816³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1085232817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 357481 + ... + 360503.

Almost surely, 2^1085232816 is an apocalyptic number.

1085232816 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 1085232816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576680336).

1085232816 is an abundant number, since it is smaller than the sum of its proper divisors (2068127856).

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

1085232816 is a wasteful number, since it uses less digits than its factorization.

1085232816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1085232816 is about 32942.8720059439. The cubic root of 1085232816 is about 1027.6399340559.

The spelling of 1085232816 in words is "one billion, eighty-five million, two hundred thirty-two thousand, eight hundred sixteen".