1198800 has 150 divisors (see below), whose sum is σ = 4418678. Its totient is φ = 311040.

The previous prime is 1198793. The next prime is 1198811. The reversal of 1198800 is 88911.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 944784 = 504^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32382 + ... + 32418.

2^1198800 is an apocalyptic number.

1198800 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 1198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209339).

1198800 is an abundant number, since it is smaller than the sum of its proper divisors (3219878).

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

1198800 is a wasteful number, since it uses less digits than its factorization.

1198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1198800 is about 1094.8972554537. The cubic root of 1198800 is about 106.2304231521.

The spelling of 1198800 in words is "one million, one hundred ninety-eight thousand, eight hundred".