1142800 has 30 divisors (see below), whose sum is σ = 2746538. Its totient is φ = 456960.

The previous prime is 1142789. The next prime is 1142809. The reversal of 1142800 is 82411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 126736 + 1016064 = 356^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1142809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1029 + ... + 1828.

2^1142800 is an apocalyptic number.

1142800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142800 is an abundant number, since it is smaller than the sum of its proper divisors (1603738).

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

1142800 is a wasteful number, since it uses less digits than its factorization.

1142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1142800 is about 1069.0182411914. The cubic root of 1142800 is about 104.5498491594.

The spelling of 1142800 in words is "one million, one hundred forty-two thousand, eight hundred".