1086580220 has 96 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 385632000.

The previous prime is 1086580217. The next prime is 1086580249. The reversal of 1086580220 is 220856801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1755071 + ... + 1755689.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^1086580220 is an apocalyptic number.

1086580220 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 1086580220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

1086580220 is an abundant number, since it is smaller than the sum of its proper divisors (1463256580).

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

1086580220 is a wasteful number, since it uses less digits than its factorization.

1086580220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1086580220 is about 32963.3162773408. The cubic root of 1086580220 is about 1028.0650574279.

The spelling of 1086580220 in words is "one billion, eighty-six million, five hundred eighty thousand, two hundred twenty".