1190664000 has 336 divisors, whose sum is σ = 4450567680. Its totient is φ = 303283200.

The previous prime is 1190663993. The next prime is 1190664061. The reversal of 1190664000 is 4660911.

1190664000 is a `hidden beast` number, since 1 + 19 + 0 + 6 + 640 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1655641 + ... + 1656359.

Almost surely, 2^1190664000 is an apocalyptic number.

1190664000 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 1190664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225283840).

1190664000 is an abundant number, since it is smaller than the sum of its proper divisors (3259903680).

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

1190664000 is a wasteful number, since it uses less digits than its factorization.

1190664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1190664000 is about 34505.9994783516. Note that the first 3 decimals coincide. The cubic root of 1190664000 is about 1059.8955634618.

The spelling of 1190664000 in words is "one billion, one hundred ninety million, six hundred sixty-four thousand".