1085647680 has 336 divisors, whose sum is σ = 4073981184. Its totient is φ = 263761920.

The previous prime is 1085647649. The next prime is 1085647681. The reversal of 1085647680 is 867465801.

It is a happy number.

1085647680 is a `hidden beast` number, since 1 + 0 + 8 + 564 + 7 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085647681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4005945 + ... + 4006215.

It is an arithmetic number, because the mean of its divisors is an integer number (12124944).

Almost surely, 2^1085647680 is an apocalyptic number.

1085647680 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 1085647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036990592).

1085647680 is an abundant number, since it is smaller than the sum of its proper divisors (2988333504).

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

1085647680 is a wasteful number, since it uses less digits than its factorization.

1085647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1085647680 is about 32949.1681230346. The cubic root of 1085647680 is about 1027.7708664828.

The spelling of 1085647680 in words is "one billion, eighty-five million, six hundred forty-seven thousand, six hundred eighty".