1084999680 has 288 divisors, whose sum is σ = 3841863480. Its totient is φ = 283115520.

The previous prime is 1084999679. The next prime is 1084999691. The reversal of 1084999680 is 869994801.

It can be written as a sum of positive squares in 4 ways, for example, as 418120704 + 666878976 = 20448^2 + 25824^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5621664 + ... + 5621856.

Almost surely, 2^1084999680 is an apocalyptic number.

1084999680 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 1084999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920931740).

1084999680 is an abundant number, since it is smaller than the sum of its proper divisors (2756863800).

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

1084999680 is a wasteful number, since it uses less digits than its factorization.

1084999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1084999680 is about 32939.3333265869. Note that the first 4 decimals coincide. The cubic root of 1084999680 is about 1027.5663409312.

The spelling of 1084999680 in words is "one billion, eighty-four million, nine hundred ninety-nine thousand, six hundred eighty".