1086504440 has 96 divisors (see below), whose sum is σ = 2852074800. Its totient is φ = 371427840.

The previous prime is 1086504427. The next prime is 1086504443. The reversal of 1086504440 is 444056801.

It is a junction number, because it is equal to n+sod(n) for n = 1086504397 and 1086504406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086504443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961796 + ... + 962924.

Almost surely, 2^1086504440 is an apocalyptic number.

1086504440 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 1086504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426037400).

1086504440 is an abundant number, since it is smaller than the sum of its proper divisors (1765570360).

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

1086504440 is a wasteful number, since it uses less digits than its factorization.

1086504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 1086504440 is about 32962.1667977092. The cubic root of 1086504440 is about 1028.0411571888.

The spelling of 1086504440 in words is "one billion, eighty-six million, five hundred four thousand, four hundred forty".