1086413328 has 240 divisors, whose sum is σ = 4082822016. Its totient is φ = 260444160.

The previous prime is 1086413309. The next prime is 1086413347. The reversal of 1086413328 is 8233146801.

1086413328 is a `hidden beast` number, since 1 + 0 + 8 + 641 + 3 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1086413309) and next prime (1086413347).

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 = 1086413292 and 1086413301.

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, 140376 + ... + 147912.

Almost surely, 2^1086413328 is an apocalyptic number.

1086413328 is a gapful number since it is divisible by the number (18) 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 1086413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041411008).

1086413328 is an abundant number, since it is smaller than the sum of its proper divisors (2996408688).

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

1086413328 is a wasteful number, since it uses less digits than its factorization.

1086413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1086413328 is about 32960.7846993969. The cubic root of 1086413328 is about 1028.0124199219.

It can be divided in two parts, 1086 and 413328, that added together give a palindrome (414414).

The spelling of 1086413328 in words is "one billion, eighty-six million, four hundred thirteen thousand, three hundred twenty-eight".