1198649760 has 576 divisors, whose sum is σ = 4951787904. Its totient is φ = 240844800.

The previous prime is 1198649759. The next prime is 1198649773. The reversal of 1198649760 is 679468911.

It is a happy number.

1198649760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1198649760² = 2873522494296115200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10607464 + ... + 10607576.

It is an arithmetic number, because the mean of its divisors is an integer number (8596854).

Almost surely, 2^1198649760 is an apocalyptic number.

1198649760 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 1198649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475893952).

1198649760 is an abundant number, since it is smaller than the sum of its proper divisors (3753138144).

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

1198649760 is a wasteful number, since it uses less digits than its factorization.

1198649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 1198649760 is about 34621.5216303385. The cubic root of 1198649760 is about 1062.2598517922.

The spelling of 1198649760 in words is "one billion, one hundred ninety-eight million, six hundred forty-nine thousand, seven hundred sixty".