1086829320 has 128 divisors (see below), whose sum is σ = 3308739840. Its totient is φ = 285573120.

The previous prime is 1086829319. The next prime is 1086829339. The reversal of 1086829320 is 239286801.

It is a happy 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, 3867580 + ... + 3867860.

It is an arithmetic number, because the mean of its divisors is an integer number (25849530).

Almost surely, 2^1086829320 is an apocalyptic number.

1086829320 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 1086829320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654369920).

1086829320 is an abundant number, since it is smaller than the sum of its proper divisors (2221910520).

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

1086829320 is a wasteful number, since it uses less digits than its factorization.

1086829320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1086829320 is about 32967.0945034591. The cubic root of 1086829320 is about 1028.1436131983.

The spelling of 1086829320 in words is "one billion, eighty-six million, eight hundred twenty-nine thousand, three hundred twenty".