1123879680 has 648 divisors, whose sum is σ = 4961842704. Its totient is φ = 232243200.

The previous prime is 1123879667. The next prime is 1123879711. The reversal of 1123879680 is 869783211.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209190 + ... + 6209370.

Almost surely, 2^1123879680 is an apocalyptic number.

1123879680 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 1123879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480921352).

1123879680 is an abundant number, since it is smaller than the sum of its proper divisors (3837963024).

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

1123879680 is a wasteful number, since it uses less digits than its factorization.

1123879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1123879680 is about 33524.3147580976. The cubic root of 1123879680 is about 1039.6965584160.

The spelling of 1123879680 in words is "one billion, one hundred twenty-three million, eight hundred seventy-nine thousand, six hundred eighty".