1086337920 has 256 divisors, whose sum is σ = 3694521600. Its totient is φ = 270729216.

The previous prime is 1086337907. The next prime is 1086337943. The reversal of 1086337920 is 297336801.

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, 3538407 + ... + 3538713.

It is an arithmetic number, because the mean of its divisors is an integer number (14431725).

Almost surely, 2^1086337920 is an apocalyptic number.

1086337920 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 1086337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847260800).

1086337920 is an abundant number, since it is smaller than the sum of its proper divisors (2608183680).

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

1086337920 is a wasteful number, since it uses less digits than its factorization.

1086337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1086337920 is about 32959.6407747415. The cubic root of 1086337920 is about 1027.9886345748.

The spelling of 1086337920 in words is "one billion, eighty-six million, three hundred thirty-seven thousand, nine hundred twenty".