1190867200 has 216 divisors, whose sum is σ = 3120550272. Its totient is φ = 449372160.

The previous prime is 1190867191. The next prime is 1190867213. The reversal of 1190867200 is 27680911.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 11129547 + ... + 11129653.

It is an arithmetic number, because the mean of its divisors is an integer number (14446992).

Almost surely, 2^1190867200 is an apocalyptic number.

1190867200 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 1190867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560275136).

1190867200 is an abundant number, since it is smaller than the sum of its proper divisors (1929683072).

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

1190867200 is a wasteful number, since it uses less digits than its factorization.

1190867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1190867200 is about 34508.9437682465. The cubic root of 1190867200 is about 1059.9558543381.

The spelling of 1190867200 in words is "one billion, one hundred ninety million, eight hundred sixty-seven thousand, two hundred".