1093408960 has 224 divisors, whose sum is σ = 3271357440. Its totient is φ = 339406848.

The previous prime is 1093408909. The next prime is 1093408997. The reversal of 1093408960 is 698043901.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978322 + ... + 979438.

Almost surely, 2^1093408960 is an apocalyptic number.

1093408960 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 1093408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635678720).

1093408960 is an abundant number, since it is smaller than the sum of its proper divisors (2177948480).

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

1093408960 is a wasteful number, since it uses less digits than its factorization.

1093408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1093408960 is about 33066.7349461661. The cubic root of 1093408960 is about 1030.2142263427.

The spelling of 1093408960 in words is "one billion, ninety-three million, four hundred eight thousand, nine hundred sixty".