1086854112 has 240 divisors, whose sum is σ = 3485235600. Its totient is φ = 330946560.

The previous prime is 1086854107. The next prime is 1086854129. The reversal of 1086854112 is 2114586801.

1086854112 is a `hidden beast` number, since 108 + 6 + 8 + 541 + 1 + 2 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1427812 + ... + 1428572.

It is an arithmetic number, because the mean of its divisors is an integer number (14521815).

Almost surely, 2^1086854112 is an apocalyptic number.

1086854112 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 1086854112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742617800).

1086854112 is an abundant number, since it is smaller than the sum of its proper divisors (2398381488).

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

1086854112 is a wasteful number, since it uses less digits than its factorization.

1086854112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1086854112 is about 32967.4705126129. The cubic root of 1086854112 is about 1028.1514309062.

It can be divided in two parts, 10868 and 54112, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 1086854112 in words is "one billion, eighty-six million, eight hundred fifty-four thousand, one hundred twelve".