1100082640 has 80 divisors (see below), whose sum is σ = 2676221568. Its totient is φ = 419747328.

The previous prime is 1100082593. The next prime is 1100082661. The reversal of 1100082640 is 462800011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005934 + ... + 1007026.

Almost surely, 2^1100082640 is an apocalyptic number.

1100082640 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 1100082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338110784).

1100082640 is an abundant number, since it is smaller than the sum of its proper divisors (1576138928).

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

1100082640 is a wasteful number, since it uses less digits than its factorization.

1100082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1100082640 is about 33167.4937250314. The cubic root of 1100082640 is about 1032.3059656056.

Adding to 1100082640 its reverse (462800011), we get a palindrome (1562882651).

The spelling of 1100082640 in words is "one billion, one hundred million, eighty-two thousand, six hundred forty".