1193887680 has 224 divisors, whose sum is σ = 3994099200. Its totient is φ = 301559808.

The previous prime is 1193887609. The next prime is 1193887693. The reversal of 1193887680 is 867883911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068926 + ... + 3069314.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^1193887680 is an apocalyptic number.

1193887680 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 1193887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997049600).

1193887680 is an abundant number, since it is smaller than the sum of its proper divisors (2800211520).

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

1193887680 is a wasteful number, since it uses less digits than its factorization.

1193887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 1193887680 is about 34552.6797803007. The cubic root of 1193887680 is about 1060.8512445414.

The spelling of 1193887680 in words is "one billion, one hundred ninety-three million, eight hundred eighty-seven thousand, six hundred eighty".