1086489600 has 528 divisors, whose sum is σ = 4288677888. Its totient is φ = 237404160.

The previous prime is 1086489583. The next prime is 1086489619. The reversal of 1086489600 is 69846801.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 23116777 + ... + 23116823.

It is an arithmetic number, because the mean of its divisors is an integer number (8122496).

Almost surely, 2^1086489600 is an apocalyptic number.

1086489600 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 1086489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144338944).

1086489600 is an abundant number, since it is smaller than the sum of its proper divisors (3202188288).

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

1086489600 is a wasteful number, since it uses less digits than its factorization.

1086489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1086489600 is about 32961.9416903798. The cubic root of 1086489600 is about 1028.0364766741.

The spelling of 1086489600 in words is "one billion, eighty-six million, four hundred eighty-nine thousand, six hundred".