1086232680 has 640 divisors, whose sum is σ = 4379870880. Its totient is φ = 238878720.

The previous prime is 1086232669. The next prime is 1086232687. The reversal of 1086232680 is 862326801.

1086232680 is a `hidden beast` number, since 1 + 0 + 8 + 623 + 26 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 51581124 + 1034651556 = 7182^2 + 32166^2 .

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 (1086232687) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 26493460 + ... + 26493500.

Almost surely, 2^1086232680 is an apocalyptic number.

1086232680 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 1086232680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189935440).

1086232680 is an abundant number, since it is smaller than the sum of its proper divisors (3293638200).

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

1086232680 is a wasteful number, since it uses less digits than its factorization.

1086232680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1086232680 is about 32958.0442380916. The cubic root of 1086232680 is about 1027.9554377167.

The spelling of 1086232680 in words is "one billion, eighty-six million, two hundred thirty-two thousand, six hundred eighty".