1198540800 has 540 divisors, whose sum is σ = 4715625915. Its totient is φ = 300810240.

The previous prime is 1198540799. The next prime is 1198540807. The reversal of 1198540800 is 80458911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 780420096 + 418120704 = 27936^2 + 20448^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24480.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1198540807) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70502392 + ... + 70502408.

Almost surely, 2^1198540800 is an apocalyptic number.

1198540800 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 1198540800

1198540800 is an abundant number, since it is smaller than the sum of its proper divisors (3517085115).

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

1198540800 is an equidigital number, since it uses as much as digits as its factorization.

1198540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1198540800 is about 34619.9480068934. The cubic root of 1198540800 is about 1062.2276635349.

The spelling of 1198540800 in words is "one billion, one hundred ninety-eight million, five hundred forty thousand, eight hundred".