1100802560 has 320 divisors, whose sum is σ = 3233793024. Its totient is φ = 353894400.

The previous prime is 1100802559. The next prime is 1100802587. The reversal of 1100802560 is 652080011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1100802560² = 2423532552205107200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11348432 + ... + 11348528.

Almost surely, 2^1100802560 is an apocalyptic number.

1100802560 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 1100802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616896512).

1100802560 is an abundant number, since it is smaller than the sum of its proper divisors (2132990464).

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

1100802560 is a wasteful number, since it uses less digits than its factorization.

1100802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1100802560 is about 33178.3447447277. The cubic root of 1100802560 is about 1032.5311049497.

Adding to 1100802560 its reverse (652080011), we get a palindrome (1752882571).

The spelling of 1100802560 in words is "one billion, one hundred million, eight hundred two thousand, five hundred sixty".