1198144080 has 180 divisors, whose sum is σ = 4680846612. Its totient is φ = 273853440.

The previous prime is 1198144067. The next prime is 1198144081. The reversal of 1198144080 is 804418911.

It can be written as a sum of positive squares in 2 ways, for example, as 211179024 + 986965056 = 14532^2 + 31416^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198144081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18300 + ... + 52260.

Almost surely, 2^1198144080 is an apocalyptic number.

1198144080 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 1198144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340423306).

1198144080 is an abundant number, since it is smaller than the sum of its proper divisors (3482702532).

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

1198144080 is a wasteful number, since it uses less digits than its factorization.

1198144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33994 (or 33978 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1198144080 is about 34614.2178880298. The cubic root of 1198144080 is about 1062.1104505977.

The spelling of 1198144080 in words is "one billion, one hundred ninety-eight million, one hundred forty-four thousand, eighty".