1084241664 has 216 divisors, whose sum is σ = 3443731200. Its totient is φ = 325355520.

The previous prime is 1084241663. The next prime is 1084241681. The reversal of 1084241664 is 4661424801.

It is a happy number.

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 (1084241663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4536457 + ... + 4536695.

It is an arithmetic number, because the mean of its divisors is an integer number (15943200).

Almost surely, 2^1084241664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721865600).

1084241664 is an abundant number, since it is smaller than the sum of its proper divisors (2359489536).

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

1084241664 is a wasteful number, since it uses less digits than its factorization.

1084241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1084241664 is about 32927.8250724217. The cubic root of 1084241664 is about 1027.3269881144.

The spelling of 1084241664 in words is "one billion, eighty-four million, two hundred forty-one thousand, six hundred sixty-four".