1086791040 has 256 divisors, whose sum is σ = 3891096000. Its totient is φ = 286654464.

The previous prime is 1086791039. The next prime is 1086791117. The reversal of 1086791040 is 401976801.

It is a super-2 number, since 2×1086791040² = 2362229529248563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1086790986 and 1086791004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883232 + ... + 1883808.

Almost surely, 2^1086791040 is an apocalyptic number.

1086791040 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 1086791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945548000).

1086791040 is an abundant number, since it is smaller than the sum of its proper divisors (2804304960).

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

1086791040 is a wasteful number, since it uses less digits than its factorization.

1086791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1086791040 is about 32966.5139194304. The cubic root of 1086791040 is about 1028.1315420604.

The spelling of 1086791040 in words is "one billion, eighty-six million, seven hundred ninety-one thousand, forty".