1085914032 has 240 divisors, whose sum is σ = 3486419712. Its totient is φ = 285143040.

The previous prime is 1085914021. The next prime is 1085914033. The reversal of 1085914032 is 2304195801.

It is a junction number, because it is equal to n+sod(n) for n = 1085913984 and 1085914002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085914033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5146407 + ... + 5146617.

Almost surely, 2^1085914032 is an apocalyptic number.

1085914032 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 1085914032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743209856).

1085914032 is an abundant number, since it is smaller than the sum of its proper divisors (2400505680).

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

1085914032 is a wasteful number, since it uses less digits than its factorization.

1085914032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1085914032 is about 32953.2097374444. The cubic root of 1085914032 is about 1027.8549104585.

The spelling of 1085914032 in words is "one billion, eighty-five million, nine hundred fourteen thousand, thirty-two".