1189658880 has 288 divisors, whose sum is σ = 4370889600. Its totient is φ = 306044928.

The previous prime is 1189658863. The next prime is 1189658887. The reversal of 1189658880 is 888569811.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1189658880³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189658887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001647 + ... + 1002833.

It is an arithmetic number, because the mean of its divisors is an integer number (15176700).

Almost surely, 2^1189658880 is an apocalyptic number.

1189658880 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 1189658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185444800).

1189658880 is an abundant number, since it is smaller than the sum of its proper divisors (3181230720).

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

1189658880 is a wasteful number, since it uses less digits than its factorization.

1189658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The square root of 1189658880 is about 34491.4319795511. The cubic root of 1189658880 is about 1059.5972363268.

The spelling of 1189658880 in words is "one billion, one hundred eighty-nine million, six hundred fifty-eight thousand, eight hundred eighty".