1099313280 has 384 divisors, whose sum is σ = 4180241520. Its totient is φ = 264536064.

The previous prime is 1099313273. The next prime is 1099313323. The reversal of 1099313280 is 823139901.

It can be written as a sum of positive squares in 8 ways, for example, as 212226624 + 887086656 = 14568^2 + 29784^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3968502 + ... + 3968778.

Almost surely, 2^1099313280 is an apocalyptic number.

1099313280 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 1099313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090120760).

1099313280 is an abundant number, since it is smaller than the sum of its proper divisors (3080928240).

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

1099313280 is a wasteful number, since it uses less digits than its factorization.

1099313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1099313280 is about 33155.8935937489. The cubic root of 1099313280 is about 1032.0652563747.

The spelling of 1099313280 in words is "one billion, ninety-nine million, three hundred thirteen thousand, two hundred eighty".