1086436800 has 420 divisors, whose sum is σ = 4081598136. Its totient is φ = 283392000.

The previous prime is 1086436789. The next prime is 1086436801. The reversal of 1086436800 is 86346801.

It is a happy number.

1086436800 is a `hidden beast` number, since 1 + 0 + 8 + 643 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086436801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 10756750 + ... + 10756850.

Almost surely, 2^1086436800 is an apocalyptic number.

1086436800 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 1086436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040799068).

1086436800 is an abundant number, since it is smaller than the sum of its proper divisors (2995161336).

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

1086436800 is a wasteful number, since it uses less digits than its factorization.

1086436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

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

The square root of 1086436800 is about 32961.1407569580. The cubic root of 1086436800 is about 1028.0198232840.

The spelling of 1086436800 in words is "one billion, eighty-six million, four hundred thirty-six thousand, eight hundred".