1159200 has 216 divisors, whose sum is σ = 4874688. Its totient is φ = 253440.

The previous prime is 1159199. The next prime is 1159201. The reversal of 1159200 is 29511.

It is an interprime number because it is at equal distance from previous prime (1159199) and next prime (1159201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1159201) 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, 50389 + ... + 50411.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2^1159200 is an apocalyptic number.

1159200 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 1159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1159200 is an abundant number, since it is smaller than the sum of its proper divisors (3715488).

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

1159200 is a wasteful number, since it uses less digits than its factorization.

1159200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1159200 is about 1076.6615066956. The cubic root of 1159200 is about 105.0475974680.

1159200 divided by its product of nonzero digits (90) gives a triangular number (12880 = T₁₆₀).

It can be divided in two parts, 1 and 159200, that added together give a square (159201 = 399²).

The spelling of 1159200 in words is "one million, one hundred fifty-nine thousand, two hundred".