1187066880 has 352 divisors, whose sum is σ = 4370426880. Its totient is φ = 305233920.

The previous prime is 1187066879. The next prime is 1187066927. The reversal of 1187066880 is 886607811.

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

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, 4285302 + ... + 4285578.

Almost surely, 2^1187066880 is an apocalyptic number.

1187066880 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 1187066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185213440).

1187066880 is an abundant number, since it is smaller than the sum of its proper divisors (3183360000).

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

1187066880 is a wasteful number, since it uses less digits than its factorization.

1187066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1187066880 is about 34453.8369416238. The cubic root of 1187066880 is about 1058.8271351511.

The spelling of 1187066880 in words is "one billion, one hundred eighty-seven million, sixty-six thousand, eight hundred eighty".