1196704000 has 72 divisors (see below), whose sum is σ = 2981218968. Its totient is φ = 478668800.

The previous prime is 1196703979. The next prime is 1196704009. The reversal of 1196704000 is 4076911.

It can be written as a sum of positive squares in 4 ways, for example, as 124010496 + 1072693504 = 11136^2 + 32752^2 .

It is a super-3 number, since 3×1196704000³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1196704000.

It is not an unprimeable number, because it can be changed into a prime (1196704009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13302 + ... + 50698.

It is an arithmetic number, because the mean of its divisors is an integer number (41405819).

Almost surely, 2^1196704000 is an apocalyptic number.

1196704000 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 1196704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490609484).

1196704000 is an abundant number, since it is smaller than the sum of its proper divisors (1784514968).

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

1196704000 is an frugal number, since it uses more digits than its factorization.

1196704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37428 (or 37404 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1196704000 is about 34593.4097770081. The cubic root of 1196704000 is about 1061.6847540992.

The spelling of 1196704000 in words is "one billion, one hundred ninety-six million, seven hundred four thousand".