1153200 has 90 divisors (see below), whose sum is σ = 3817092. Its totient is φ = 297600.

The previous prime is 1153199. The next prime is 1153211. The reversal of 1153200 is 23511.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37185 + ... + 37215.

2^1153200 is an apocalyptic number.

1153200 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 1153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908546).

1153200 is an abundant number, since it is smaller than the sum of its proper divisors (2663892).

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

1153200 is a wasteful number, since it uses less digits than its factorization.

1153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1153200 is about 1073.8715006927. The cubic root of 1153200 is about 104.8660423231.

Multiplying 1153200 by its sum of digits (12), we get a square (13838400 = 3720²).

1153200 divided by its sum of digits (12) gives a square (96100 = 310²).

Adding to 1153200 its reverse (23511), we get a palindrome (1176711).

The spelling of 1153200 in words is "one million, one hundred fifty-three thousand, two hundred".