1086780240 has 800 divisors, whose sum is σ = 4940517120. Its totient is φ = 214990848.

The previous prime is 1086780239. The next prime is 1086780241. The reversal of 1086780240 is 420876801.

It is an interprime number because it is at equal distance from previous prime (1086780239) and next prime (1086780241).

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 = 1086780195 and 1086780204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086780241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11203872 + ... + 11203968.

Almost surely, 2^1086780240 is an apocalyptic number.

1086780240 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 1086780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470258560).

1086780240 is an abundant number, since it is smaller than the sum of its proper divisors (3853736880).

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

1086780240 is a wasteful number, since it uses less digits than its factorization.

1086780240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1086780240 is about 32966.3501164445. The cubic root of 1086780240 is about 1028.1281363590.

The spelling of 1086780240 in words is "one billion, eighty-six million, seven hundred eighty thousand, two hundred forty".