1086583680 has 512 divisors, whose sum is σ = 4743244800. Its totient is φ = 228925440.

The previous prime is 1086583661. The next prime is 1086583691. The reversal of 1086583680 is 863856801.

1086583680 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 583 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572135 + ... + 1572825.

It is an arithmetic number, because the mean of its divisors is an integer number (9264150).

Almost surely, 2^1086583680 is an apocalyptic number.

1086583680 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 1086583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371622400).

1086583680 is an abundant number, since it is smaller than the sum of its proper divisors (3656661120).

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

1086583680 is a wasteful number, since it uses less digits than its factorization.

1086583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1086583680 is about 32963.3687598825. The cubic root of 1086583680 is about 1028.0661486501.

The spelling of 1086583680 in words is "one billion, eighty-six million, five hundred eighty-three thousand, six hundred eighty".