1086888320 has 256 divisors, whose sum is σ = 3125606400. Its totient is φ = 353673216.

The previous prime is 1086888317. The next prime is 1086888323. The reversal of 1086888320 is 238886801.

It is an interprime number because it is at equal distance from previous prime (1086888317) and next prime (1086888323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086888323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13094999 + ... + 13095081.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^1086888320 is an apocalyptic number.

1086888320 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 1086888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

1086888320 is an abundant number, since it is smaller than the sum of its proper divisors (2038718080).

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

1086888320 is an equidigital number, since it uses as much as digits as its factorization.

1086888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 1086888320 is about 32967.9893229781. The cubic root of 1086888320 is about 1028.1622175839.

The spelling of 1086888320 in words is "one billion, eighty-six million, eight hundred eighty-eight thousand, three hundred twenty".