1141800 has 96 divisors (see below), whose sum is σ = 3883680. Its totient is φ = 275200.

The previous prime is 1141769. The next prime is 1141801. The reversal of 1141800 is 81411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1141800.

It is not an unprimeable number, because it can be changed into a prime (1141801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6514 + ... + 6686.

It is an arithmetic number, because the mean of its divisors is an integer number (40455).

2^1141800 is an apocalyptic number.

1141800 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 1141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941840).

1141800 is an abundant number, since it is smaller than the sum of its proper divisors (2741880).

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

1141800 is a wasteful number, since it uses less digits than its factorization.

1141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1141800 is about 1068.5504199615. The cubic root of 1141800 is about 104.5193450294.

The spelling of 1141800 in words is "one million, one hundred forty-one thousand, eight hundred".