1085616000 has 512 divisors, whose sum is σ = 4582656000. Its totient is φ = 247449600.

The previous prime is 1085615987. The next prime is 1085616019. The reversal of 1085616000 is 6165801.

1085616000 is a `hidden beast` number, since 1 + 0 + 8 + 56 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023821 + ... + 3024179.

It is an arithmetic number, because the mean of its divisors is an integer number (8950500).

Almost surely, 2^1085616000 is an apocalyptic number.

1085616000 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 1085616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291328000).

1085616000 is an abundant number, since it is smaller than the sum of its proper divisors (3497040000).

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

1085616000 is an equidigital number, since it uses as much as digits as its factorization.

1085616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1085616000 is about 32948.6873790141. The cubic root of 1085616000 is about 1027.7608693482.

The spelling of 1085616000 in words is "one billion, eighty-five million, six hundred sixteen thousand".