1123680600 has 384 divisors, whose sum is σ = 4490188800. Its totient is φ = 256141440.

The previous prime is 1123680589. The next prime is 1123680659. The reversal of 1123680600 is 60863211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3061617 + ... + 3061983.

It is an arithmetic number, because the mean of its divisors is an integer number (11693200).

Almost surely, 2^1123680600 is an apocalyptic number.

1123680600 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 1123680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245094400).

1123680600 is an abundant number, since it is smaller than the sum of its proper divisors (3366508200).

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

1123680600 is an equidigital number, since it uses as much as digits as its factorization.

1123680600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1123680600 is about 33521.3454383919. The cubic root of 1123680600 is about 1039.6351654226.

The spelling of 1123680600 in words is "one billion, one hundred twenty-three million, six hundred eighty thousand, six hundred".