1100431680 has 224 divisors, whose sum is σ = 3695639040. Its totient is φ = 277301248.

The previous prime is 1100431639. The next prime is 1100431691. The reversal of 1100431680 is 861340011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1100431680.

It is a congruent number.

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, 23413417 + ... + 23413463.

Almost surely, 2^1100431680 is an apocalyptic number.

1100431680 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 1100431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847819520).

1100431680 is an abundant number, since it is smaller than the sum of its proper divisors (2595207360).

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

1100431680 is an frugal number, since it uses more digits than its factorization.

1100431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1100431680 is about 33172.7550860642. The cubic root of 1100431680 is about 1032.4151325476.

Adding to 1100431680 its reverse (861340011), we get a palindrome (1961771691).

The spelling of 1100431680 in words is "one billion, one hundred million, four hundred thirty-one thousand, six hundred eighty".