1086109920 has 576 divisors, whose sum is σ = 4585351680. Its totient is φ = 228593664.

The previous prime is 1086109909. The next prime is 1086109993. The reversal of 1086109920 is 299016801.

1086109920 is a `hidden beast` number, since 10 + 8 + 610 + 9 + 9 + 20 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10150507 + ... + 10150613.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2^1086109920 is an apocalyptic number.

1086109920 is a gapful number since it is divisible by the number (10) 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 1086109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292675840).

1086109920 is an abundant number, since it is smaller than the sum of its proper divisors (3499241760).

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

1086109920 is a wasteful number, since it uses less digits than its factorization.

1086109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1086109920 is about 32956.1818176803. The cubic root of 1086109920 is about 1027.9167116481.

The spelling of 1086109920 in words is "one billion, eighty-six million, one hundred nine thousand, nine hundred twenty".