1196672800 has 108 divisors (see below), whose sum is σ = 2994593490. Its totient is φ = 466959360.

The previous prime is 1196672783. The next prime is 1196672809. The reversal of 1196672800 is 82766911.

It can be written as a sum of positive squares in 3 ways, for example, as 1079253904 + 117418896 = 32852^2 + 10836^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1196672809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1478796 + ... + 1479604.

Almost surely, 2^1196672800 is an apocalyptic number.

1196672800 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 1196672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497296745).

1196672800 is an abundant number, since it is smaller than the sum of its proper divisors (1797920690).

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

1196672800 is an equidigital number, since it uses as much as digits as its factorization.

1196672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1196672800 is about 34592.9588211243. The cubic root of 1196672800 is about 1061.6755274087.

The spelling of 1196672800 in words is "one billion, one hundred ninety-six million, six hundred seventy-two thousand, eight hundred".