1086315120 has 240 divisors, whose sum is σ = 4189910400. Its totient is φ = 249454080.

The previous prime is 1086315107. The next prime is 1086315133. The reversal of 1086315120 is 215136801.

1086315120 is a `hidden beast` number, since 1 + 0 + 8 + 631 + 5 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1086315107) and next prime (1086315133).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1086315120² = 2360161079881228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146871 + ... + 154089.

It is an arithmetic number, because the mean of its divisors is an integer number (17457960).

Almost surely, 2^1086315120 is an apocalyptic number.

1086315120 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 1086315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094955200).

1086315120 is an abundant number, since it is smaller than the sum of its proper divisors (3103595280).

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

1086315120 is a wasteful number, since it uses less digits than its factorization.

1086315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1086315120 is about 32959.2948953706. The cubic root of 1086315120 is about 1027.9814427351.

The spelling of 1086315120 in words is "one billion, eighty-six million, three hundred fifteen thousand, one hundred twenty".